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Finding the Fourth Proportional to 154,574.92, 231,830.61 and 97,631.47

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Solution

The fourth proportional to 154,574.92, 231,830.61 and 97,631.47 is: 146,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,574.92 : 231,830.61 = 97,631.47 : x
  2. Step 2: Convert to fraction form
    154,574.92/231,830.61 = 97,631.47/x
  3. Step 3: Cross multiply
    154,574.92x = 231,830.61 × 97,631.47
  4. Step 4: Simplify right side
    154,574.92x = 22,633,963,245.30
  5. Step 5: Solve for x
    x = 22,633,963,245.30/154,574.92
  6. Step 6: Final answer
    x = 146,427.14

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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.