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Finding the Fourth Proportional to 178,061.42, 267,127.78 and 65,742.32

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Solution

The fourth proportional to 178,061.42, 267,127.78 and 65,742.32 is: 98,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,061.42 : 267,127.78 = 65,742.32 : x
  2. Step 2: Convert to fraction form
    178,061.42/267,127.78 = 65,742.32/x
  3. Step 3: Cross multiply
    178,061.42x = 267,127.78 × 65,742.32
  4. Step 4: Simplify right side
    178,061.42x = 17,561,599,993.65
  5. Step 5: Solve for x
    x = 17,561,599,993.65/178,061.42
  6. Step 6: Final answer
    x = 98,626.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.