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Finding the Fourth Proportional to 207,538.96, 311,308.53 and 160,223.15

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Solution

The fourth proportional to 207,538.96, 311,308.53 and 160,223.15 is: 240,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,538.96 : 311,308.53 = 160,223.15 : x
  2. Step 2: Convert to fraction form
    207,538.96/311,308.53 = 160,223.15/x
  3. Step 3: Cross multiply
    207,538.96x = 311,308.53 × 160,223.15
  4. Step 4: Simplify right side
    207,538.96x = 49,878,833,298.47
  5. Step 5: Solve for x
    x = 49,878,833,298.47/207,538.96
  6. Step 6: Final answer
    x = 240,334.79

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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.