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Finding the Fourth Proportional to 102,470.96, 153,730.20 and 40,142

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Solution

The fourth proportional to 102,470.96, 153,730.20 and 40,142 is: 60,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,470.96 : 153,730.20 = 40,142 : x
  2. Step 2: Convert to fraction form
    102,470.96/153,730.20 = 40,142/x
  3. Step 3: Cross multiply
    102,470.96x = 153,730.20 × 40,142
  4. Step 4: Simplify right side
    102,470.96x = 6,171,037,688.40
  5. Step 5: Solve for x
    x = 6,171,037,688.40/102,470.96
  6. Step 6: Final answer
    x = 60,222.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.