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Finding the Fourth Proportional to 283,098.30, 424,516.23 and 105,557.64

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Solution

The fourth proportional to 283,098.30, 424,516.23 and 105,557.64 is: 158,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,098.30 : 424,516.23 = 105,557.64 : x
  2. Step 2: Convert to fraction form
    283,098.30/424,516.23 = 105,557.64/x
  3. Step 3: Cross multiply
    283,098.30x = 424,516.23 × 105,557.64
  4. Step 4: Simplify right side
    283,098.30x = 44,810,931,380.50
  5. Step 5: Solve for x
    x = 44,810,931,380.50/283,098.30
  6. Step 6: Final answer
    x = 158,287.53

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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.