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Finding the Fourth Proportional to 208,897.95, 288,282.68 and 113,404.66

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Solution

The fourth proportional to 208,897.95, 288,282.68 and 113,404.66 is: 156,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,897.95 : 288,282.68 = 113,404.66 : x
  2. Step 2: Convert to fraction form
    208,897.95/288,282.68 = 113,404.66/x
  3. Step 3: Cross multiply
    208,897.95x = 288,282.68 × 113,404.66
  4. Step 4: Simplify right side
    208,897.95x = 32,692,598,446.83
  5. Step 5: Solve for x
    x = 32,692,598,446.83/208,897.95
  6. Step 6: Final answer
    x = 156,500.33

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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.