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Finding the Fourth Proportional to 281,200.86, 388,057.17 and 153,876.46

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Solution

The fourth proportional to 281,200.86, 388,057.17 and 153,876.46 is: 212,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,200.86 : 388,057.17 = 153,876.46 : x
  2. Step 2: Convert to fraction form
    281,200.86/388,057.17 = 153,876.46/x
  3. Step 3: Cross multiply
    281,200.86x = 388,057.17 × 153,876.46
  4. Step 4: Simplify right side
    281,200.86x = 59,712,863,597.22
  5. Step 5: Solve for x
    x = 59,712,863,597.22/281,200.86
  6. Step 6: Final answer
    x = 212,349.51

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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.