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Finding the Fourth Proportional to 186,293.71, 257,084.04 and 101,410.57

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Solution

The fourth proportional to 186,293.71, 257,084.04 and 101,410.57 is: 139,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,293.71 : 257,084.04 = 101,410.57 : x
  2. Step 2: Convert to fraction form
    186,293.71/257,084.04 = 101,410.57/x
  3. Step 3: Cross multiply
    186,293.71x = 257,084.04 × 101,410.57
  4. Step 4: Simplify right side
    186,293.71x = 26,071,039,034.30
  5. Step 5: Solve for x
    x = 26,071,039,034.30/186,293.71
  6. Step 6: Final answer
    x = 139,945.89

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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.