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Finding the Fourth Proportional to 283,101.98, 424,726.46 and 105,610.32

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Solution

The fourth proportional to 283,101.98, 424,726.46 and 105,610.32 is: 158,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,101.98 : 424,726.46 = 105,610.32 : x
  2. Step 2: Convert to fraction form
    283,101.98/424,726.46 = 105,610.32/x
  3. Step 3: Cross multiply
    283,101.98x = 424,726.46 × 105,610.32
  4. Step 4: Simplify right side
    283,101.98x = 44,855,496,825.02
  5. Step 5: Solve for x
    x = 44,855,496,825.02/283,101.98
  6. Step 6: Final answer
    x = 158,442.90

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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.