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Finding the Fourth Proportional to 165,197.70, 227,845.98 and 111,397.50

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Solution

The fourth proportional to 165,197.70, 227,845.98 and 111,397.50 is: 153,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,197.70 : 227,845.98 = 111,397.50 : x
  2. Step 2: Convert to fraction form
    165,197.70/227,845.98 = 111,397.50/x
  3. Step 3: Cross multiply
    165,197.70x = 227,845.98 × 111,397.50
  4. Step 4: Simplify right side
    165,197.70x = 25,381,472,557.05
  5. Step 5: Solve for x
    x = 25,381,472,557.05/165,197.70
  6. Step 6: Final answer
    x = 153,643.01

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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.