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Finding the Fourth Proportional to 132,797, 199,075.44 and 48,497.70

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Solution

The fourth proportional to 132,797, 199,075.44 and 48,497.70 is: 72,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,797 : 199,075.44 = 48,497.70 : x
  2. Step 2: Convert to fraction form
    132,797/199,075.44 = 48,497.70/x
  3. Step 3: Cross multiply
    132,797x = 199,075.44 × 48,497.70
  4. Step 4: Simplify right side
    132,797x = 9,654,700,966.49
  5. Step 5: Solve for x
    x = 9,654,700,966.49/132,797
  6. Step 6: Final answer
    x = 72,702.70

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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.