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Finding the Fourth Proportional to 230,095.80, 344,715.84 and 125,003.16

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Solution

The fourth proportional to 230,095.80, 344,715.84 and 125,003.16 is: 187,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,095.80 : 344,715.84 = 125,003.16 : x
  2. Step 2: Convert to fraction form
    230,095.80/344,715.84 = 125,003.16/x
  3. Step 3: Cross multiply
    230,095.80x = 344,715.84 × 125,003.16
  4. Step 4: Simplify right side
    230,095.80x = 43,090,569,302.05
  5. Step 5: Solve for x
    x = 43,090,569,302.05/230,095.80
  6. Step 6: Final answer
    x = 187,272.30

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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.