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Finding the Fourth Proportional to 272,726.83, 408,805.86 and 152,607.68

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Solution

The fourth proportional to 272,726.83, 408,805.86 and 152,607.68 is: 228,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,726.83 : 408,805.86 = 152,607.68 : x
  2. Step 2: Convert to fraction form
    272,726.83/408,805.86 = 152,607.68/x
  3. Step 3: Cross multiply
    272,726.83x = 408,805.86 × 152,607.68
  4. Step 4: Simplify right side
    272,726.83x = 62,386,913,865.00
  5. Step 5: Solve for x
    x = 62,386,913,865.00/272,726.83
  6. Step 6: Final answer
    x = 228,752.39

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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.