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Finding the Fourth Proportional to 283,144.74, 424,420.95 and 105,574.50

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Solution

The fourth proportional to 283,144.74, 424,420.95 and 105,574.50 is: 158,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,144.74 : 424,420.95 = 105,574.50 : x
  2. Step 2: Convert to fraction form
    283,144.74/424,420.95 = 105,574.50/x
  3. Step 3: Cross multiply
    283,144.74x = 424,420.95 × 105,574.50
  4. Step 4: Simplify right side
    283,144.74x = 44,808,029,585.78
  5. Step 5: Solve for x
    x = 44,808,029,585.78/283,144.74
  6. Step 6: Final answer
    x = 158,251.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.