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Finding the Fourth Proportional to 283,414.19, 424,973.65 and 105,775.11

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Solution

The fourth proportional to 283,414.19, 424,973.65 and 105,775.11 is: 158,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,414.19 : 424,973.65 = 105,775.11 : x
  2. Step 2: Convert to fraction form
    283,414.19/424,973.65 = 105,775.11/x
  3. Step 3: Cross multiply
    283,414.19x = 424,973.65 × 105,775.11
  4. Step 4: Simplify right side
    283,414.19x = 44,951,634,575.85
  5. Step 5: Solve for x
    x = 44,951,634,575.85/283,414.19
  6. Step 6: Final answer
    x = 158,607.57

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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.