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Finding the Fourth Proportional to 152,691.84, 228,927.02 and 102,647.80

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Solution

The fourth proportional to 152,691.84, 228,927.02 and 102,647.80 is: 153,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,691.84 : 228,927.02 = 102,647.80 : x
  2. Step 2: Convert to fraction form
    152,691.84/228,927.02 = 102,647.80/x
  3. Step 3: Cross multiply
    152,691.84x = 228,927.02 × 102,647.80
  4. Step 4: Simplify right side
    152,691.84x = 23,498,854,963.56
  5. Step 5: Solve for x
    x = 23,498,854,963.56/152,691.84
  6. Step 6: Final answer
    x = 153,897.25

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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.