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Finding the Fourth Proportional to 153,103.50, 229,692.92 and 53,264.55

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Solution

The fourth proportional to 153,103.50, 229,692.92 and 53,264.55 is: 79,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,103.50 : 229,692.92 = 53,264.55 : x
  2. Step 2: Convert to fraction form
    153,103.50/229,692.92 = 53,264.55/x
  3. Step 3: Cross multiply
    153,103.50x = 229,692.92 × 53,264.55
  4. Step 4: Simplify right side
    153,103.50x = 12,234,490,021.99
  5. Step 5: Solve for x
    x = 12,234,490,021.99/153,103.50
  6. Step 6: Final answer
    x = 79,909.93

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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.