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Finding the Fourth Proportional to 97,662.24, 134,764.56 and 77,567.76

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Solution

The fourth proportional to 97,662.24, 134,764.56 and 77,567.76 is: 107,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,662.24 : 134,764.56 = 77,567.76 : x
  2. Step 2: Convert to fraction form
    97,662.24/134,764.56 = 77,567.76/x
  3. Step 3: Cross multiply
    97,662.24x = 134,764.56 × 77,567.76
  4. Step 4: Simplify right side
    97,662.24x = 10,453,385,046.59
  5. Step 5: Solve for x
    x = 10,453,385,046.59/97,662.24
  6. Step 6: Final answer
    x = 107,036.10

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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.