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Finding the Fourth Proportional to 154,039.40, 231,059.10 and 71,095.40

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Solution

The fourth proportional to 154,039.40, 231,059.10 and 71,095.40 is: 106,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,039.40 : 231,059.10 = 71,095.40 : x
  2. Step 2: Convert to fraction form
    154,039.40/231,059.10 = 71,095.40/x
  3. Step 3: Cross multiply
    154,039.40x = 231,059.10 × 71,095.40
  4. Step 4: Simplify right side
    154,039.40x = 16,427,239,138.14
  5. Step 5: Solve for x
    x = 16,427,239,138.14/154,039.40
  6. Step 6: Final answer
    x = 106,643.10

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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.