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Finding the Fourth Proportional to 186,276.66, 257,054.66 and 105,699.38

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Solution

The fourth proportional to 186,276.66, 257,054.66 and 105,699.38 is: 145,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,276.66 : 257,054.66 = 105,699.38 : x
  2. Step 2: Convert to fraction form
    186,276.66/257,054.66 = 105,699.38/x
  3. Step 3: Cross multiply
    186,276.66x = 257,054.66 × 105,699.38
  4. Step 4: Simplify right side
    186,276.66x = 27,170,516,374.34
  5. Step 5: Solve for x
    x = 27,170,516,374.34/186,276.66
  6. Step 6: Final answer
    x = 145,861.09

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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.