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Finding the Fourth Proportional to 102,342.94, 141,237.15 and 59,323.84

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Solution

The fourth proportional to 102,342.94, 141,237.15 and 59,323.84 is: 81,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,342.94 : 141,237.15 = 59,323.84 : x
  2. Step 2: Convert to fraction form
    102,342.94/141,237.15 = 59,323.84/x
  3. Step 3: Cross multiply
    102,342.94x = 141,237.15 × 59,323.84
  4. Step 4: Simplify right side
    102,342.94x = 8,378,730,088.66
  5. Step 5: Solve for x
    x = 8,378,730,088.66/102,342.94
  6. Step 6: Final answer
    x = 81,869.16

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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.