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Finding the Fourth Proportional to 150,300.82, 225,454.03 and 70,294.53

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Solution

The fourth proportional to 150,300.82, 225,454.03 and 70,294.53 is: 105,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,300.82 : 225,454.03 = 70,294.53 : x
  2. Step 2: Convert to fraction form
    150,300.82/225,454.03 = 70,294.53/x
  3. Step 3: Cross multiply
    150,300.82x = 225,454.03 × 70,294.53
  4. Step 4: Simplify right side
    150,300.82x = 15,848,186,140.58
  5. Step 5: Solve for x
    x = 15,848,186,140.58/150,300.82
  6. Step 6: Final answer
    x = 105,443.11

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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.