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Finding the Fourth Proportional to 102,470.76, 141,409.35 and 57,148.80

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Solution

The fourth proportional to 102,470.76, 141,409.35 and 57,148.80 is: 78,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,470.76 : 141,409.35 = 57,148.80 : x
  2. Step 2: Convert to fraction form
    102,470.76/141,409.35 = 57,148.80/x
  3. Step 3: Cross multiply
    102,470.76x = 141,409.35 × 57,148.80
  4. Step 4: Simplify right side
    102,470.76x = 8,081,374,661.28
  5. Step 5: Solve for x
    x = 8,081,374,661.28/102,470.76
  6. Step 6: Final answer
    x = 78,865.18

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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.