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Finding the Fourth Proportional to 154,041.40, 231,062.10 and 71,097.40

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Solution

The fourth proportional to 154,041.40, 231,062.10 and 71,097.40 is: 106,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,041.40 : 231,062.10 = 71,097.40 : x
  2. Step 2: Convert to fraction form
    154,041.40/231,062.10 = 71,097.40/x
  3. Step 3: Cross multiply
    154,041.40x = 231,062.10 × 71,097.40
  4. Step 4: Simplify right side
    154,041.40x = 16,427,914,548.54
  5. Step 5: Solve for x
    x = 16,427,914,548.54/154,041.40
  6. Step 6: Final answer
    x = 106,646.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.