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Finding the Fourth Proportional to 115,785.89, 159,787.38 and 64,798.21

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Solution

The fourth proportional to 115,785.89, 159,787.38 and 64,798.21 is: 89,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,785.89 : 159,787.38 = 64,798.21 : x
  2. Step 2: Convert to fraction form
    115,785.89/159,787.38 = 64,798.21/x
  3. Step 3: Cross multiply
    115,785.89x = 159,787.38 × 64,798.21
  4. Step 4: Simplify right side
    115,785.89x = 10,353,936,647.32
  5. Step 5: Solve for x
    x = 10,353,936,647.32/115,785.89
  6. Step 6: Final answer
    x = 89,423.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.