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Finding the Fourth Proportional to 132,046.80, 197,897.40 and 53,096.40

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Solution

The fourth proportional to 132,046.80, 197,897.40 and 53,096.40 is: 79,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,046.80 : 197,897.40 = 53,096.40 : x
  2. Step 2: Convert to fraction form
    132,046.80/197,897.40 = 53,096.40/x
  3. Step 3: Cross multiply
    132,046.80x = 197,897.40 × 53,096.40
  4. Step 4: Simplify right side
    132,046.80x = 10,507,639,509.36
  5. Step 5: Solve for x
    x = 10,507,639,509.36/132,046.80
  6. Step 6: Final answer
    x = 79,575.12

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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.