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Finding the Fourth Proportional to 162,433.96, 224,152.46 and 89,832.05

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Solution

The fourth proportional to 162,433.96, 224,152.46 and 89,832.05 is: 123,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,433.96 : 224,152.46 = 89,832.05 : x
  2. Step 2: Convert to fraction form
    162,433.96/224,152.46 = 89,832.05/x
  3. Step 3: Cross multiply
    162,433.96x = 224,152.46 × 89,832.05
  4. Step 4: Simplify right side
    162,433.96x = 20,136,075,422.38
  5. Step 5: Solve for x
    x = 20,136,075,422.38/162,433.96
  6. Step 6: Final answer
    x = 123,964.69

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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.