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Finding the Fourth Proportional to 123,410.65, 185,079.29 and 52,332.24

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Solution

The fourth proportional to 123,410.65, 185,079.29 and 52,332.24 is: 78,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.65 : 185,079.29 = 52,332.24 : x
  2. Step 2: Convert to fraction form
    123,410.65/185,079.29 = 52,332.24/x
  3. Step 3: Cross multiply
    123,410.65x = 185,079.29 × 52,332.24
  4. Step 4: Simplify right side
    123,410.65x = 9,685,613,561.65
  5. Step 5: Solve for x
    x = 9,685,613,561.65/123,410.65
  6. Step 6: Final answer
    x = 78,482.80

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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.