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Finding the Fourth Proportional to 103,406.40, 155,224.80 and 56,750.40

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Solution

The fourth proportional to 103,406.40, 155,224.80 and 56,750.40 is: 85,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,406.40 : 155,224.80 = 56,750.40 : x
  2. Step 2: Convert to fraction form
    103,406.40/155,224.80 = 56,750.40/x
  3. Step 3: Cross multiply
    103,406.40x = 155,224.80 × 56,750.40
  4. Step 4: Simplify right side
    103,406.40x = 8,809,069,489.92
  5. Step 5: Solve for x
    x = 8,809,069,489.92/103,406.40
  6. Step 6: Final answer
    x = 85,188.82

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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.