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Finding the Fourth Proportional to 283,189.50, 424,784.25 and 116,981.82

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Solution

The fourth proportional to 283,189.50, 424,784.25 and 116,981.82 is: 175,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,189.50 : 424,784.25 = 116,981.82 : x
  2. Step 2: Convert to fraction form
    283,189.50/424,784.25 = 116,981.82/x
  3. Step 3: Cross multiply
    283,189.50x = 424,784.25 × 116,981.82
  4. Step 4: Simplify right side
    283,189.50x = 49,692,034,672.34
  5. Step 5: Solve for x
    x = 49,692,034,672.34/283,189.50
  6. Step 6: Final answer
    x = 175,472.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.