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Finding the Fourth Proportional to 186,888.11, 257,905.50 and 102,005.16

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Solution

The fourth proportional to 186,888.11, 257,905.50 and 102,005.16 is: 140,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,888.11 : 257,905.50 = 102,005.16 : x
  2. Step 2: Convert to fraction form
    186,888.11/257,905.50 = 102,005.16/x
  3. Step 3: Cross multiply
    186,888.11x = 257,905.50 × 102,005.16
  4. Step 4: Simplify right side
    186,888.11x = 26,307,691,792.38
  5. Step 5: Solve for x
    x = 26,307,691,792.38/186,888.11
  6. Step 6: Final answer
    x = 140,767.07

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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.