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Finding the Fourth Proportional to 152,001.30, 228,001.95 and 41,193.30

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Solution

The fourth proportional to 152,001.30, 228,001.95 and 41,193.30 is: 61,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,001.30 : 228,001.95 = 41,193.30 : x
  2. Step 2: Convert to fraction form
    152,001.30/228,001.95 = 41,193.30/x
  3. Step 3: Cross multiply
    152,001.30x = 228,001.95 × 41,193.30
  4. Step 4: Simplify right side
    152,001.30x = 9,392,152,726.94
  5. Step 5: Solve for x
    x = 9,392,152,726.94/152,001.30
  6. Step 6: Final answer
    x = 61,789.95

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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.