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Finding the Fourth Proportional to 110,123.60, 165,185.40 and 97,876.40

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Solution

The fourth proportional to 110,123.60, 165,185.40 and 97,876.40 is: 146,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,123.60 : 165,185.40 = 97,876.40 : x
  2. Step 2: Convert to fraction form
    110,123.60/165,185.40 = 97,876.40/x
  3. Step 3: Cross multiply
    110,123.60x = 165,185.40 × 97,876.40
  4. Step 4: Simplify right side
    110,123.60x = 16,167,752,284.56
  5. Step 5: Solve for x
    x = 16,167,752,284.56/110,123.60
  6. Step 6: Final answer
    x = 146,814.60

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1.5x scale

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.