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Finding the Fourth Proportional to 101,411.66, 152,117.76 and 41,440.14

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Solution

The fourth proportional to 101,411.66, 152,117.76 and 41,440.14 is: 62,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,411.66 : 152,117.76 = 41,440.14 : x
  2. Step 2: Convert to fraction form
    101,411.66/152,117.76 = 41,440.14/x
  3. Step 3: Cross multiply
    101,411.66x = 152,117.76 × 41,440.14
  4. Step 4: Simplify right side
    101,411.66x = 6,303,781,270.89
  5. Step 5: Solve for x
    x = 6,303,781,270.89/101,411.66
  6. Step 6: Final answer
    x = 62,160.32

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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.