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Finding the Fourth Proportional to 186,985.38, 258,039.80 and 102,102.52

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Solution

The fourth proportional to 186,985.38, 258,039.80 and 102,102.52 is: 140,901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,985.38 : 258,039.80 = 102,102.52 : x
  2. Step 2: Convert to fraction form
    186,985.38/258,039.80 = 102,102.52/x
  3. Step 3: Cross multiply
    186,985.38x = 258,039.80 × 102,102.52
  4. Step 4: Simplify right side
    186,985.38x = 26,346,513,840.30
  5. Step 5: Solve for x
    x = 26,346,513,840.30/186,985.38
  6. Step 6: Final answer
    x = 140,901.46

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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.