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Finding the Fourth Proportional to 149,574.80, 224,216.40 and 133,828.40

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Solution

The fourth proportional to 149,574.80, 224,216.40 and 133,828.40 is: 200,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574.80 : 224,216.40 = 133,828.40 : x
  2. Step 2: Convert to fraction form
    149,574.80/224,216.40 = 133,828.40/x
  3. Step 3: Cross multiply
    149,574.80x = 224,216.40 × 133,828.40
  4. Step 4: Simplify right side
    149,574.80x = 30,006,522,065.76
  5. Step 5: Solve for x
    x = 30,006,522,065.76/149,574.80
  6. Step 6: Final answer
    x = 200,612.15

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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.