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Finding the Fourth Proportional to 151,841.60, 227,935.20 and 89,547.20

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Solution

The fourth proportional to 151,841.60, 227,935.20 and 89,547.20 is: 134,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,841.60 : 227,935.20 = 89,547.20 : x
  2. Step 2: Convert to fraction form
    151,841.60/227,935.20 = 89,547.20/x
  3. Step 3: Cross multiply
    151,841.60x = 227,935.20 × 89,547.20
  4. Step 4: Simplify right side
    151,841.60x = 20,410,958,941.44
  5. Step 5: Solve for x
    x = 20,410,958,941.44/151,841.60
  6. Step 6: Final answer
    x = 134,422.71

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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.