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Finding the Fourth Proportional to 283,155.52, 424,355.88 and 105,483.64

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Solution

The fourth proportional to 283,155.52, 424,355.88 and 105,483.64 is: 158,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,155.52 : 424,355.88 = 105,483.64 : x
  2. Step 2: Convert to fraction form
    283,155.52/424,355.88 = 105,483.64/x
  3. Step 3: Cross multiply
    283,155.52x = 424,355.88 × 105,483.64
  4. Step 4: Simplify right side
    283,155.52x = 44,762,602,877.80
  5. Step 5: Solve for x
    x = 44,762,602,877.80/283,155.52
  6. Step 6: Final answer
    x = 158,084.87

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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.