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Finding the Fourth Proportional to 161,714.60, 242,571.90 and 142,031.60

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Solution

The fourth proportional to 161,714.60, 242,571.90 and 142,031.60 is: 213,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,714.60 : 242,571.90 = 142,031.60 : x
  2. Step 2: Convert to fraction form
    161,714.60/242,571.90 = 142,031.60/x
  3. Step 3: Cross multiply
    161,714.60x = 242,571.90 × 142,031.60
  4. Step 4: Simplify right side
    161,714.60x = 34,452,875,072.04
  5. Step 5: Solve for x
    x = 34,452,875,072.04/161,714.60
  6. Step 6: Final answer
    x = 213,047.40

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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.