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Finding the Fourth Proportional to 152,026.53, 227,728.41 and 85,326.60

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Solution

The fourth proportional to 152,026.53, 227,728.41 and 85,326.60 is: 127,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,026.53 : 227,728.41 = 85,326.60 : x
  2. Step 2: Convert to fraction form
    152,026.53/227,728.41 = 85,326.60/x
  3. Step 3: Cross multiply
    152,026.53x = 227,728.41 × 85,326.60
  4. Step 4: Simplify right side
    152,026.53x = 19,431,290,948.71
  5. Step 5: Solve for x
    x = 19,431,290,948.71/152,026.53
  6. Step 6: Final answer
    x = 127,815.13

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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.