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Finding the Fourth Proportional to 152,510.75, 228,766.13 and 41,702.75

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Solution

The fourth proportional to 152,510.75, 228,766.13 and 41,702.75 is: 62,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,510.75 : 228,766.13 = 41,702.75 : x
  2. Step 2: Convert to fraction form
    152,510.75/228,766.13 = 41,702.75/x
  3. Step 3: Cross multiply
    152,510.75x = 228,766.13 × 41,702.75
  4. Step 4: Simplify right side
    152,510.75x = 9,540,176,727.86
  5. Step 5: Solve for x
    x = 9,540,176,727.86/152,510.75
  6. Step 6: Final answer
    x = 62,554.13

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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.