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Finding the Fourth Proportional to 132,302.16, 198,203.04 and 102,574.32

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Solution

The fourth proportional to 132,302.16, 198,203.04 and 102,574.32 is: 153,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,302.16 : 198,203.04 = 102,574.32 : x
  2. Step 2: Convert to fraction form
    132,302.16/198,203.04 = 102,574.32/x
  3. Step 3: Cross multiply
    132,302.16x = 198,203.04 × 102,574.32
  4. Step 4: Simplify right side
    132,302.16x = 20,330,542,049.93
  5. Step 5: Solve for x
    x = 20,330,542,049.93/132,302.16
  6. Step 6: Final answer
    x = 153,667.50

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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.