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Finding the Fourth Proportional to 222,065.38, 306,364.17 and 141,478.48

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Solution

The fourth proportional to 222,065.38, 306,364.17 and 141,478.48 is: 195,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,065.38 : 306,364.17 = 141,478.48 : x
  2. Step 2: Convert to fraction form
    222,065.38/306,364.17 = 141,478.48/x
  3. Step 3: Cross multiply
    222,065.38x = 306,364.17 × 141,478.48
  4. Step 4: Simplify right side
    222,065.38x = 43,343,937,098.06
  5. Step 5: Solve for x
    x = 43,343,937,098.06/222,065.38
  6. Step 6: Final answer
    x = 195,185.48

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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.