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Finding the Fourth Proportional to 162,818.32, 224,577.10 and 114,522.68

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Solution

The fourth proportional to 162,818.32, 224,577.10 and 114,522.68 is: 157,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,818.32 : 224,577.10 = 114,522.68 : x
  2. Step 2: Convert to fraction form
    162,818.32/224,577.10 = 114,522.68/x
  3. Step 3: Cross multiply
    162,818.32x = 224,577.10 × 114,522.68
  4. Step 4: Simplify right side
    162,818.32x = 25,719,169,663.13
  5. Step 5: Solve for x
    x = 25,719,169,663.13/162,818.32
  6. Step 6: Final answer
    x = 157,962.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.