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Finding the Fourth Proportional to 119,411.56, 178,969.72 and 60,264.16

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Solution

The fourth proportional to 119,411.56, 178,969.72 and 60,264.16 is: 90,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,411.56 : 178,969.72 = 60,264.16 : x
  2. Step 2: Convert to fraction form
    119,411.56/178,969.72 = 60,264.16/x
  3. Step 3: Cross multiply
    119,411.56x = 178,969.72 × 60,264.16
  4. Step 4: Simplify right side
    119,411.56x = 10,785,459,841.24
  5. Step 5: Solve for x
    x = 10,785,459,841.24/119,411.56
  6. Step 6: Final answer
    x = 90,321.74

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Why These Related Problems?

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