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Finding the Fourth Proportional to 153,206.27, 229,810.56 and 53,366.30

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Solution

The fourth proportional to 153,206.27, 229,810.56 and 53,366.30 is: 80,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,206.27 : 229,810.56 = 53,366.30 : x
  2. Step 2: Convert to fraction form
    153,206.27/229,810.56 = 53,366.30/x
  3. Step 3: Cross multiply
    153,206.27x = 229,810.56 × 53,366.30
  4. Step 4: Simplify right side
    153,206.27x = 12,264,139,783.27
  5. Step 5: Solve for x
    x = 12,264,139,783.27/153,206.27
  6. Step 6: Final answer
    x = 80,049.86

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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.