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Finding the Fourth Proportional to 162,333.86, 224,017.43 and 89,739.81

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Solution

The fourth proportional to 162,333.86, 224,017.43 and 89,739.81 is: 123,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,333.86 : 224,017.43 = 89,739.81 : x
  2. Step 2: Convert to fraction form
    162,333.86/224,017.43 = 89,739.81/x
  3. Step 3: Cross multiply
    162,333.86x = 224,017.43 × 89,739.81
  4. Step 4: Simplify right side
    162,333.86x = 20,103,281,996.25
  5. Step 5: Solve for x
    x = 20,103,281,996.25/162,333.86
  6. Step 6: Final answer
    x = 123,839.12

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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.