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Finding the Fourth Proportional to 152,494.61, 228,772.49 and 52,658.46

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Solution

The fourth proportional to 152,494.61, 228,772.49 and 52,658.46 is: 78,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,494.61 : 228,772.49 = 52,658.46 : x
  2. Step 2: Convert to fraction form
    152,494.61/228,772.49 = 52,658.46/x
  3. Step 3: Cross multiply
    152,494.61x = 228,772.49 × 52,658.46
  4. Step 4: Simplify right side
    152,494.61x = 12,046,806,750.47
  5. Step 5: Solve for x
    x = 12,046,806,750.47/152,494.61
  6. Step 6: Final answer
    x = 78,998.25

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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.