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Finding the Fourth Proportional to 154,477.60, 231,716.40 and 137,856.40

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Solution

The fourth proportional to 154,477.60, 231,716.40 and 137,856.40 is: 206,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,477.60 : 231,716.40 = 137,856.40 : x
  2. Step 2: Convert to fraction form
    154,477.60/231,716.40 = 137,856.40/x
  3. Step 3: Cross multiply
    154,477.60x = 231,716.40 × 137,856.40
  4. Step 4: Simplify right side
    154,477.60x = 31,943,588,724.96
  5. Step 5: Solve for x
    x = 31,943,588,724.96/154,477.60
  6. Step 6: Final answer
    x = 206,784.60

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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.