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Finding the Fourth Proportional to 186,864.96, 257,879.66 and 106,290.42

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Solution

The fourth proportional to 186,864.96, 257,879.66 and 106,290.42 is: 146,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,864.96 : 257,879.66 = 106,290.42 : x
  2. Step 2: Convert to fraction form
    186,864.96/257,879.66 = 106,290.42/x
  3. Step 3: Cross multiply
    186,864.96x = 257,879.66 × 106,290.42
  4. Step 4: Simplify right side
    186,864.96x = 27,410,136,347.18
  5. Step 5: Solve for x
    x = 27,410,136,347.18/186,864.96
  6. Step 6: Final answer
    x = 146,684.19

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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.