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Finding the Fourth Proportional to 202,348, 279,240.24 and 112,924

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Solution

The fourth proportional to 202,348, 279,240.24 and 112,924 is: 155,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,348 : 279,240.24 = 112,924 : x
  2. Step 2: Convert to fraction form
    202,348/279,240.24 = 112,924/x
  3. Step 3: Cross multiply
    202,348x = 279,240.24 × 112,924
  4. Step 4: Simplify right side
    202,348x = 31,532,924,861.76
  5. Step 5: Solve for x
    x = 31,532,924,861.76/202,348
  6. Step 6: Final answer
    x = 155,835.12

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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.