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Finding the Fourth Proportional to 144,574.84, 216,808.32 and 49,778.24

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Solution

The fourth proportional to 144,574.84, 216,808.32 and 49,778.24 is: 74,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,574.84 : 216,808.32 = 49,778.24 : x
  2. Step 2: Convert to fraction form
    144,574.84/216,808.32 = 49,778.24/x
  3. Step 3: Cross multiply
    144,574.84x = 216,808.32 × 49,778.24
  4. Step 4: Simplify right side
    144,574.84x = 10,792,336,586.96
  5. Step 5: Solve for x
    x = 10,792,336,586.96/144,574.84
  6. Step 6: Final answer
    x = 74,648.79

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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.