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Finding the Fourth Proportional to 102,898.12, 142,009.14 and 64,663.96

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Solution

The fourth proportional to 102,898.12, 142,009.14 and 64,663.96 is: 89,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,898.12 : 142,009.14 = 64,663.96 : x
  2. Step 2: Convert to fraction form
    102,898.12/142,009.14 = 64,663.96/x
  3. Step 3: Cross multiply
    102,898.12x = 142,009.14 × 64,663.96
  4. Step 4: Simplify right side
    102,898.12x = 9,182,873,348.59
  5. Step 5: Solve for x
    x = 9,182,873,348.59/102,898.12
  6. Step 6: Final answer
    x = 89,242.38

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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.