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Finding the Fourth Proportional to 153,000.10, 229,500.15 and 83,016.10

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Solution

The fourth proportional to 153,000.10, 229,500.15 and 83,016.10 is: 124,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,000.10 : 229,500.15 = 83,016.10 : x
  2. Step 2: Convert to fraction form
    153,000.10/229,500.15 = 83,016.10/x
  3. Step 3: Cross multiply
    153,000.10x = 229,500.15 × 83,016.10
  4. Step 4: Simplify right side
    153,000.10x = 19,052,207,402.42
  5. Step 5: Solve for x
    x = 19,052,207,402.42/153,000.10
  6. Step 6: Final answer
    x = 124,524.15

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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.