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Finding the Fourth Proportional to 349,702.23, 524,424.86 and 125,001.75

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Solution

The fourth proportional to 349,702.23, 524,424.86 and 125,001.75 is: 187,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,702.23 : 524,424.86 = 125,001.75 : x
  2. Step 2: Convert to fraction form
    349,702.23/524,424.86 = 125,001.75/x
  3. Step 3: Cross multiply
    349,702.23x = 524,424.86 × 125,001.75
  4. Step 4: Simplify right side
    349,702.23x = 65,554,025,243.51
  5. Step 5: Solve for x
    x = 65,554,025,243.51/349,702.23
  6. Step 6: Final answer
    x = 187,456.70

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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.