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Finding the Fourth Proportional to 161,908.10, 242,882.52 and 86,925.20

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Solution

The fourth proportional to 161,908.10, 242,882.52 and 86,925.20 is: 130,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,908.10 : 242,882.52 = 86,925.20 : x
  2. Step 2: Convert to fraction form
    161,908.10/242,882.52 = 86,925.20/x
  3. Step 3: Cross multiply
    161,908.10x = 242,882.52 × 86,925.20
  4. Step 4: Simplify right side
    161,908.10x = 21,112,611,627.50
  5. Step 5: Solve for x
    x = 21,112,611,627.50/161,908.10
  6. Step 6: Final answer
    x = 130,398.74

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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.