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Finding the Fourth Proportional to 97,651.68, 134,703.25 and 57,358.02

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Solution

The fourth proportional to 97,651.68, 134,703.25 and 57,358.02 is: 79,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,651.68 : 134,703.25 = 57,358.02 : x
  2. Step 2: Convert to fraction form
    97,651.68/134,703.25 = 57,358.02/x
  3. Step 3: Cross multiply
    97,651.68x = 134,703.25 × 57,358.02
  4. Step 4: Simplify right side
    97,651.68x = 7,726,312,391.95
  5. Step 5: Solve for x
    x = 7,726,312,391.95/97,651.68
  6. Step 6: Final answer
    x = 79,121.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.