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Finding the Fourth Proportional to 102,200.98, 153,320.02 and 42,229.58

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Solution

The fourth proportional to 102,200.98, 153,320.02 and 42,229.58 is: 63,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,200.98 : 153,320.02 = 42,229.58 : x
  2. Step 2: Convert to fraction form
    102,200.98/153,320.02 = 42,229.58/x
  3. Step 3: Cross multiply
    102,200.98x = 153,320.02 × 42,229.58
  4. Step 4: Simplify right side
    102,200.98x = 6,474,640,050.19
  5. Step 5: Solve for x
    x = 6,474,640,050.19/102,200.98
  6. Step 6: Final answer
    x = 63,352.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.