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Finding the Fourth Proportional to 132,704.60, 198,570.90 and 97,712.60

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Solution

The fourth proportional to 132,704.60, 198,570.90 and 97,712.60 is: 146,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,704.60 : 198,570.90 = 97,712.60 : x
  2. Step 2: Convert to fraction form
    132,704.60/198,570.90 = 97,712.60/x
  3. Step 3: Cross multiply
    132,704.60x = 198,570.90 × 97,712.60
  4. Step 4: Simplify right side
    132,704.60x = 19,402,878,923.34
  5. Step 5: Solve for x
    x = 19,402,878,923.34/132,704.60
  6. Step 6: Final answer
    x = 146,211.05

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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.