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Finding the Fourth Proportional to 283,281.29, 424,990.58 and 83,597.25

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Solution

The fourth proportional to 283,281.29, 424,990.58 and 83,597.25 is: 125,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,281.29 : 424,990.58 = 83,597.25 : x
  2. Step 2: Convert to fraction form
    283,281.29/424,990.58 = 83,597.25/x
  3. Step 3: Cross multiply
    283,281.29x = 424,990.58 × 83,597.25
  4. Step 4: Simplify right side
    283,281.29x = 35,528,043,763.91
  5. Step 5: Solve for x
    x = 35,528,043,763.91/283,281.29
  6. Step 6: Final answer
    x = 125,416.13

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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.