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Finding the Fourth Proportional to 146,776.32, 220,155.84 and 48,280.32

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Solution

The fourth proportional to 146,776.32, 220,155.84 and 48,280.32 is: 72,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,776.32 : 220,155.84 = 48,280.32 : x
  2. Step 2: Convert to fraction form
    146,776.32/220,155.84 = 48,280.32/x
  3. Step 3: Cross multiply
    146,776.32x = 220,155.84 × 48,280.32
  4. Step 4: Simplify right side
    146,776.32x = 10,629,194,405.07
  5. Step 5: Solve for x
    x = 10,629,194,405.07/146,776.32
  6. Step 6: Final answer
    x = 72,417.64

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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.