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Finding the Fourth Proportional to 97,698.26, 134,780.80 and 57,393.84

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Solution

The fourth proportional to 97,698.26, 134,780.80 and 57,393.84 is: 79,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,698.26 : 134,780.80 = 57,393.84 : x
  2. Step 2: Convert to fraction form
    97,698.26/134,780.80 = 57,393.84/x
  3. Step 3: Cross multiply
    97,698.26x = 134,780.80 × 57,393.84
  4. Step 4: Simplify right side
    97,698.26x = 7,735,587,670.27
  5. Step 5: Solve for x
    x = 7,735,587,670.27/97,698.26
  6. Step 6: Final answer
    x = 79,178.36

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1.5x scale

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.