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Finding the Fourth Proportional to 152,242.53, 228,347.39 and 39,934

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Solution

The fourth proportional to 152,242.53, 228,347.39 and 39,934 is: 59,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,242.53 : 228,347.39 = 39,934 : x
  2. Step 2: Convert to fraction form
    152,242.53/228,347.39 = 39,934/x
  3. Step 3: Cross multiply
    152,242.53x = 228,347.39 × 39,934
  4. Step 4: Simplify right side
    152,242.53x = 9,118,824,472.59
  5. Step 5: Solve for x
    x = 9,118,824,472.59/152,242.53
  6. Step 6: Final answer
    x = 59,896.70

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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.