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Finding the Fourth Proportional to 283,302.21, 424,854.29 and 83,569.59

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Solution

The fourth proportional to 283,302.21, 424,854.29 and 83,569.59 is: 125,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,302.21 : 424,854.29 = 83,569.59 : x
  2. Step 2: Convert to fraction form
    283,302.21/424,854.29 = 83,569.59/x
  3. Step 3: Cross multiply
    283,302.21x = 424,854.29 × 83,569.59
  4. Step 4: Simplify right side
    283,302.21x = 35,504,898,407.19
  5. Step 5: Solve for x
    x = 35,504,898,407.19/283,302.21
  6. Step 6: Final answer
    x = 125,325.17

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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.