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Finding the Fourth Proportional to 202,117.68, 278,935.14 and 116,103.58

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Solution

The fourth proportional to 202,117.68, 278,935.14 and 116,103.58 is: 160,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,117.68 : 278,935.14 = 116,103.58 : x
  2. Step 2: Convert to fraction form
    202,117.68/278,935.14 = 116,103.58/x
  3. Step 3: Cross multiply
    202,117.68x = 278,935.14 × 116,103.58
  4. Step 4: Simplify right side
    202,117.68x = 32,385,368,079.85
  5. Step 5: Solve for x
    x = 32,385,368,079.85/202,117.68
  6. Step 6: Final answer
    x = 160,230.26

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1.5x scale

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.