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Finding the Fourth Proportional to 153,469.65, 230,235.86 and 64,723.23

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Solution

The fourth proportional to 153,469.65, 230,235.86 and 64,723.23 is: 97,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,469.65 : 230,235.86 = 64,723.23 : x
  2. Step 2: Convert to fraction form
    153,469.65/230,235.86 = 64,723.23/x
  3. Step 3: Cross multiply
    153,469.65x = 230,235.86 × 64,723.23
  4. Step 4: Simplify right side
    153,469.65x = 14,901,608,197.41
  5. Step 5: Solve for x
    x = 14,901,608,197.41/153,469.65
  6. Step 6: Final answer
    x = 97,098.08

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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.