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Finding the Fourth Proportional to 283,098.51, 424,516.54 and 105,557.85

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Solution

The fourth proportional to 283,098.51, 424,516.54 and 105,557.85 is: 158,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,098.51 : 424,516.54 = 105,557.85 : x
  2. Step 2: Convert to fraction form
    283,098.51/424,516.54 = 105,557.85/x
  3. Step 3: Cross multiply
    283,098.51x = 424,516.54 × 105,557.85
  4. Step 4: Simplify right side
    283,098.51x = 44,811,051,129.26
  5. Step 5: Solve for x
    x = 44,811,051,129.26/283,098.51
  6. Step 6: Final answer
    x = 158,287.84

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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.