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Finding the Fourth Proportional to 283,045.52, 424,597.98 and 140,926.04

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Solution

The fourth proportional to 283,045.52, 424,597.98 and 140,926.04 is: 211,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,045.52 : 424,597.98 = 140,926.04 : x
  2. Step 2: Convert to fraction form
    283,045.52/424,597.98 = 140,926.04/x
  3. Step 3: Cross multiply
    283,045.52x = 424,597.98 × 140,926.04
  4. Step 4: Simplify right side
    283,045.52x = 59,836,911,913.40
  5. Step 5: Solve for x
    x = 59,836,911,913.40/283,045.52
  6. Step 6: Final answer
    x = 211,403.85

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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.