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Finding the Fourth Proportional to 132,175.87, 197,962.84 and 103,534.01

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Solution

The fourth proportional to 132,175.87, 197,962.84 and 103,534.01 is: 155,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,175.87 : 197,962.84 = 103,534.01 : x
  2. Step 2: Convert to fraction form
    132,175.87/197,962.84 = 103,534.01/x
  3. Step 3: Cross multiply
    132,175.87x = 197,962.84 × 103,534.01
  4. Step 4: Simplify right side
    132,175.87x = 20,495,886,656.19
  5. Step 5: Solve for x
    x = 20,495,886,656.19/132,175.87
  6. Step 6: Final answer
    x = 155,065.27

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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.