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Finding the Fourth Proportional to 281,013.44, 387,793.12 and 153,688.64

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Solution

The fourth proportional to 281,013.44, 387,793.12 and 153,688.64 is: 212,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,013.44 : 387,793.12 = 153,688.64 : x
  2. Step 2: Convert to fraction form
    281,013.44/387,793.12 = 153,688.64/x
  3. Step 3: Cross multiply
    281,013.44x = 387,793.12 × 153,688.64
  4. Step 4: Simplify right side
    281,013.44x = 59,599,397,214.16
  5. Step 5: Solve for x
    x = 59,599,397,214.16/281,013.44
  6. Step 6: Final answer
    x = 212,087.36

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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.