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Finding the Fourth Proportional to 154,573.92, 231,829.11 and 97,630.47

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Solution

The fourth proportional to 154,573.92, 231,829.11 and 97,630.47 is: 146,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,573.92 : 231,829.11 = 97,630.47 : x
  2. Step 2: Convert to fraction form
    154,573.92/231,829.11 = 97,630.47/x
  3. Step 3: Cross multiply
    154,573.92x = 231,829.11 × 97,630.47
  4. Step 4: Simplify right side
    154,573.92x = 22,633,584,968.98
  5. Step 5: Solve for x
    x = 22,633,584,968.98/154,573.92
  6. Step 6: Final answer
    x = 146,425.64

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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.