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Finding the Fourth Proportional to 153,280.83, 229,930.95 and 48,103.95

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Solution

The fourth proportional to 153,280.83, 229,930.95 and 48,103.95 is: 72,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,280.83 : 229,930.95 = 48,103.95 : x
  2. Step 2: Convert to fraction form
    153,280.83/229,930.95 = 48,103.95/x
  3. Step 3: Cross multiply
    153,280.83x = 229,930.95 × 48,103.95
  4. Step 4: Simplify right side
    153,280.83x = 11,060,586,922.25
  5. Step 5: Solve for x
    x = 11,060,586,922.25/153,280.83
  6. Step 6: Final answer
    x = 72,158.97

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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.