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Finding the Fourth Proportional to 152,642.70, 228,964.05 and 99,498.60

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Solution

The fourth proportional to 152,642.70, 228,964.05 and 99,498.60 is: 149,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,642.70 : 228,964.05 = 99,498.60 : x
  2. Step 2: Convert to fraction form
    152,642.70/228,964.05 = 99,498.60/x
  3. Step 3: Cross multiply
    152,642.70x = 228,964.05 × 99,498.60
  4. Step 4: Simplify right side
    152,642.70x = 22,781,602,425.33
  5. Step 5: Solve for x
    x = 22,781,602,425.33/152,642.70
  6. Step 6: Final answer
    x = 149,247.90

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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.