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Finding the Fourth Proportional to 102,689.98, 141,510.28 and 78,518.31

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Solution

The fourth proportional to 102,689.98, 141,510.28 and 78,518.31 is: 108,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,689.98 : 141,510.28 = 78,518.31 : x
  2. Step 2: Convert to fraction form
    102,689.98/141,510.28 = 78,518.31/x
  3. Step 3: Cross multiply
    102,689.98x = 141,510.28 × 78,518.31
  4. Step 4: Simplify right side
    102,689.98x = 11,111,148,033.23
  5. Step 5: Solve for x
    x = 11,111,148,033.23/102,689.98
  6. Step 6: Final answer
    x = 108,200.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.