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Finding the Fourth Proportional to 102,654.88, 141,761.56 and 97,064.08

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Solution

The fourth proportional to 102,654.88, 141,761.56 and 97,064.08 is: 134,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654.88 : 141,761.56 = 97,064.08 : x
  2. Step 2: Convert to fraction form
    102,654.88/141,761.56 = 97,064.08/x
  3. Step 3: Cross multiply
    102,654.88x = 141,761.56 × 97,064.08
  4. Step 4: Simplify right side
    102,654.88x = 13,759,955,400.76
  5. Step 5: Solve for x
    x = 13,759,955,400.76/102,654.88
  6. Step 6: Final answer
    x = 134,040.93

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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.