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Finding the Fourth Proportional to 101,532.34, 152,198.05 and 48,130.53

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Solution

The fourth proportional to 101,532.34, 152,198.05 and 48,130.53 is: 72,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,532.34 : 152,198.05 = 48,130.53 : x
  2. Step 2: Convert to fraction form
    101,532.34/152,198.05 = 48,130.53/x
  3. Step 3: Cross multiply
    101,532.34x = 152,198.05 × 48,130.53
  4. Step 4: Simplify right side
    101,532.34x = 7,325,372,811.47
  5. Step 5: Solve for x
    x = 7,325,372,811.47/101,532.34
  6. Step 6: Final answer
    x = 72,148.17

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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.