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Finding the Fourth Proportional to 132,907.94, 199,303.38 and 48,646.20

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Solution

The fourth proportional to 132,907.94, 199,303.38 and 48,646.20 is: 72,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,907.94 : 199,303.38 = 48,646.20 : x
  2. Step 2: Convert to fraction form
    132,907.94/199,303.38 = 48,646.20/x
  3. Step 3: Cross multiply
    132,907.94x = 199,303.38 × 48,646.20
  4. Step 4: Simplify right side
    132,907.94x = 9,695,352,084.16
  5. Step 5: Solve for x
    x = 9,695,352,084.16/132,907.94
  6. Step 6: Final answer
    x = 72,947.88

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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.