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Finding the Fourth Proportional to 283,219.69, 424,728.35 and 93,645.06

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Solution

The fourth proportional to 283,219.69, 424,728.35 and 93,645.06 is: 140,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219.69 : 424,728.35 = 93,645.06 : x
  2. Step 2: Convert to fraction form
    283,219.69/424,728.35 = 93,645.06/x
  3. Step 3: Cross multiply
    283,219.69x = 424,728.35 × 93,645.06
  4. Step 4: Simplify right side
    283,219.69x = 39,773,712,367.07
  5. Step 5: Solve for x
    x = 39,773,712,367.07/283,219.69
  6. Step 6: Final answer
    x = 140,434.14

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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.