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Finding the Fourth Proportional to 161,763.30, 242,863.65 and 102,714.30

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Solution

The fourth proportional to 161,763.30, 242,863.65 and 102,714.30 is: 154,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,763.30 : 242,863.65 = 102,714.30 : x
  2. Step 2: Convert to fraction form
    161,763.30/242,863.65 = 102,714.30/x
  3. Step 3: Cross multiply
    161,763.30x = 242,863.65 × 102,714.30
  4. Step 4: Simplify right side
    161,763.30x = 24,945,569,805.20
  5. Step 5: Solve for x
    x = 24,945,569,805.20/161,763.30
  6. Step 6: Final answer
    x = 154,210.32

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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.