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Finding the Fourth Proportional to 349,456.10, 524,184.84 and 96,737.31

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Solution

The fourth proportional to 349,456.10, 524,184.84 and 96,737.31 is: 145,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,456.10 : 524,184.84 = 96,737.31 : x
  2. Step 2: Convert to fraction form
    349,456.10/524,184.84 = 96,737.31/x
  3. Step 3: Cross multiply
    349,456.10x = 524,184.84 × 96,737.31
  4. Step 4: Simplify right side
    349,456.10x = 50,708,231,364.38
  5. Step 5: Solve for x
    x = 50,708,231,364.38/349,456.10
  6. Step 6: Final answer
    x = 145,106.16

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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.