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Finding the Fourth Proportional to 202,963.85, 279,767.45 and 159,875.08

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Solution

The fourth proportional to 202,963.85, 279,767.45 and 159,875.08 is: 220,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,963.85 : 279,767.45 = 159,875.08 : x
  2. Step 2: Convert to fraction form
    202,963.85/279,767.45 = 159,875.08/x
  3. Step 3: Cross multiply
    202,963.85x = 279,767.45 × 159,875.08
  4. Step 4: Simplify right side
    202,963.85x = 44,727,843,585.95
  5. Step 5: Solve for x
    x = 44,727,843,585.95/202,963.85
  6. Step 6: Final answer
    x = 220,373.45

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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.