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Finding the Fourth Proportional to 103,748.40, 155,363.40 and 83,012.40

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Solution

The fourth proportional to 103,748.40, 155,363.40 and 83,012.40 is: 124,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,748.40 : 155,363.40 = 83,012.40 : x
  2. Step 2: Convert to fraction form
    103,748.40/155,363.40 = 83,012.40/x
  3. Step 3: Cross multiply
    103,748.40x = 155,363.40 × 83,012.40
  4. Step 4: Simplify right side
    103,748.40x = 12,897,088,706.16
  5. Step 5: Solve for x
    x = 12,897,088,706.16/103,748.40
  6. Step 6: Final answer
    x = 124,311.21

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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.