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Finding the Fourth Proportional to 115,146.32, 172,741.35 and 40,287.74

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Solution

The fourth proportional to 115,146.32, 172,741.35 and 40,287.74 is: 60,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,146.32 : 172,741.35 = 40,287.74 : x
  2. Step 2: Convert to fraction form
    115,146.32/172,741.35 = 40,287.74/x
  3. Step 3: Cross multiply
    115,146.32x = 172,741.35 × 40,287.74
  4. Step 4: Simplify right side
    115,146.32x = 6,959,358,596.05
  5. Step 5: Solve for x
    x = 6,959,358,596.05/115,146.32
  6. Step 6: Final answer
    x = 60,439.26

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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.