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Finding the Fourth Proportional to 162,360.81, 224,154.81 and 101,983.14

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Solution

The fourth proportional to 162,360.81, 224,154.81 and 101,983.14 is: 140,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,360.81 : 224,154.81 = 101,983.14 : x
  2. Step 2: Convert to fraction form
    162,360.81/224,154.81 = 101,983.14/x
  3. Step 3: Cross multiply
    162,360.81x = 224,154.81 × 101,983.14
  4. Step 4: Simplify right side
    162,360.81x = 22,860,011,369.90
  5. Step 5: Solve for x
    x = 22,860,011,369.90/162,360.81
  6. Step 6: Final answer
    x = 140,797.59

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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.