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Finding the Fourth Proportional to 201,503.56, 278,070.42 and 116,618.92

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Solution

The fourth proportional to 201,503.56, 278,070.42 and 116,618.92 is: 160,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,503.56 : 278,070.42 = 116,618.92 : x
  2. Step 2: Convert to fraction form
    201,503.56/278,070.42 = 116,618.92/x
  3. Step 3: Cross multiply
    201,503.56x = 278,070.42 × 116,618.92
  4. Step 4: Simplify right side
    201,503.56x = 32,428,272,064.35
  5. Step 5: Solve for x
    x = 32,428,272,064.35/201,503.56
  6. Step 6: Final answer
    x = 160,931.51

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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.