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Finding the Fourth Proportional to 186,883.96, 257,897.78 and 106,309.62

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Solution

The fourth proportional to 186,883.96, 257,897.78 and 106,309.62 is: 146,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,883.96 : 257,897.78 = 106,309.62 : x
  2. Step 2: Convert to fraction form
    186,883.96/257,897.78 = 106,309.62/x
  3. Step 3: Cross multiply
    186,883.96x = 257,897.78 × 106,309.62
  4. Step 4: Simplify right side
    186,883.96x = 27,417,014,990.64
  5. Step 5: Solve for x
    x = 27,417,014,990.64/186,883.96
  6. Step 6: Final answer
    x = 146,706.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.