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Finding the Fourth Proportional to 152,402.70, 228,733.65 and 68,292.30

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Solution

The fourth proportional to 152,402.70, 228,733.65 and 68,292.30 is: 102,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,402.70 : 228,733.65 = 68,292.30 : x
  2. Step 2: Convert to fraction form
    152,402.70/228,733.65 = 68,292.30/x
  3. Step 3: Cross multiply
    152,402.70x = 228,733.65 × 68,292.30
  4. Step 4: Simplify right side
    152,402.70x = 15,620,747,045.90
  5. Step 5: Solve for x
    x = 15,620,747,045.90/152,402.70
  6. Step 6: Final answer
    x = 102,496.52

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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.