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Finding the Fourth Proportional to 343,174.12, 514,658.00 and 129,870.54

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Solution

The fourth proportional to 343,174.12, 514,658.00 and 129,870.54 is: 194,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,174.12 : 514,658.00 = 129,870.54 : x
  2. Step 2: Convert to fraction form
    343,174.12/514,658.00 = 129,870.54/x
  3. Step 3: Cross multiply
    343,174.12x = 514,658.00 × 129,870.54
  4. Step 4: Simplify right side
    343,174.12x = 66,838,912,700.00
  5. Step 5: Solve for x
    x = 66,838,912,700.00/343,174.12
  6. Step 6: Final answer
    x = 194,766.77

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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.