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Finding the Fourth Proportional to 157,175.48, 235,763.22 and 129,415.16

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Solution

The fourth proportional to 157,175.48, 235,763.22 and 129,415.16 is: 194,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,175.48 : 235,763.22 = 129,415.16 : x
  2. Step 2: Convert to fraction form
    157,175.48/235,763.22 = 129,415.16/x
  3. Step 3: Cross multiply
    157,175.48x = 235,763.22 × 129,415.16
  4. Step 4: Simplify right side
    157,175.48x = 30,511,334,838.42
  5. Step 5: Solve for x
    x = 30,511,334,838.42/157,175.48
  6. Step 6: Final answer
    x = 194,122.74

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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.