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Finding the Fourth Proportional to 169,222.40, 253,834.16 and 42,862.60

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Solution

The fourth proportional to 169,222.40, 253,834.16 and 42,862.60 is: 64,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,222.40 : 253,834.16 = 42,862.60 : x
  2. Step 2: Convert to fraction form
    169,222.40/253,834.16 = 42,862.60/x
  3. Step 3: Cross multiply
    169,222.40x = 253,834.16 × 42,862.60
  4. Step 4: Simplify right side
    169,222.40x = 10,879,992,066.42
  5. Step 5: Solve for x
    x = 10,879,992,066.42/169,222.40
  6. Step 6: Final answer
    x = 64,294.04

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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.