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Finding the Fourth Proportional to 192,345.95, 288,261 and 149,702.88

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Solution

The fourth proportional to 192,345.95, 288,261 and 149,702.88 is: 224,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,345.95 : 288,261 = 149,702.88 : x
  2. Step 2: Convert to fraction form
    192,345.95/288,261 = 149,702.88/x
  3. Step 3: Cross multiply
    192,345.95x = 288,261 × 149,702.88
  4. Step 4: Simplify right side
    192,345.95x = 43,153,501,891.68
  5. Step 5: Solve for x
    x = 43,153,501,891.68/192,345.95
  6. Step 6: Final answer
    x = 224,353.58

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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.