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Finding the Fourth Proportional to 153,156.11, 229,534.49 and 78,213.08

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Solution

The fourth proportional to 153,156.11, 229,534.49 and 78,213.08 is: 117,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,156.11 : 229,534.49 = 78,213.08 : x
  2. Step 2: Convert to fraction form
    153,156.11/229,534.49 = 78,213.08/x
  3. Step 3: Cross multiply
    153,156.11x = 229,534.49 × 78,213.08
  4. Step 4: Simplify right side
    153,156.11x = 17,952,600,198.50
  5. Step 5: Solve for x
    x = 17,952,600,198.50/153,156.11
  6. Step 6: Final answer
    x = 117,217.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.