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Finding the Fourth Proportional to 101,952.05, 152,928.08 and 97,031.30

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Solution

The fourth proportional to 101,952.05, 152,928.08 and 97,031.30 is: 145,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952.05 : 152,928.08 = 97,031.30 : x
  2. Step 2: Convert to fraction form
    101,952.05/152,928.08 = 97,031.30/x
  3. Step 3: Cross multiply
    101,952.05x = 152,928.08 × 97,031.30
  4. Step 4: Simplify right side
    101,952.05x = 14,838,809,923.75
  5. Step 5: Solve for x
    x = 14,838,809,923.75/101,952.05
  6. Step 6: Final answer
    x = 145,546.95

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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.