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Finding the Fourth Proportional to 153,755.10, 230,665.05 and 64,962.90

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Solution

The fourth proportional to 153,755.10, 230,665.05 and 64,962.90 is: 97,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,755.10 : 230,665.05 = 64,962.90 : x
  2. Step 2: Convert to fraction form
    153,755.10/230,665.05 = 64,962.90/x
  3. Step 3: Cross multiply
    153,755.10x = 230,665.05 × 64,962.90
  4. Step 4: Simplify right side
    153,755.10x = 14,984,670,576.65
  5. Step 5: Solve for x
    x = 14,984,670,576.65/153,755.10
  6. Step 6: Final answer
    x = 97,458.04

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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.