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Finding the Fourth Proportional to 157,078.20, 235,271.70 and 136,342.20

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Solution

The fourth proportional to 157,078.20, 235,271.70 and 136,342.20 is: 204,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,078.20 : 235,271.70 = 136,342.20 : x
  2. Step 2: Convert to fraction form
    157,078.20/235,271.70 = 136,342.20/x
  3. Step 3: Cross multiply
    157,078.20x = 235,271.70 × 136,342.20
  4. Step 4: Simplify right side
    157,078.20x = 32,077,461,175.74
  5. Step 5: Solve for x
    x = 32,077,461,175.74/157,078.20
  6. Step 6: Final answer
    x = 204,213.32

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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.