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Finding the Fourth Proportional to 207,225.12, 285,970.20 and 116,581.12

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Solution

The fourth proportional to 207,225.12, 285,970.20 and 116,581.12 is: 160,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,225.12 : 285,970.20 = 116,581.12 : x
  2. Step 2: Convert to fraction form
    207,225.12/285,970.20 = 116,581.12/x
  3. Step 3: Cross multiply
    207,225.12x = 285,970.20 × 116,581.12
  4. Step 4: Simplify right side
    207,225.12x = 33,338,726,202.62
  5. Step 5: Solve for x
    x = 33,338,726,202.62/207,225.12
  6. Step 6: Final answer
    x = 160,881.68

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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.