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Finding the Fourth Proportional to 133,574.32, 200,463.04 and 49,414.08

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Solution

The fourth proportional to 133,574.32, 200,463.04 and 49,414.08 is: 74,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574.32 : 200,463.04 = 49,414.08 : x
  2. Step 2: Convert to fraction form
    133,574.32/200,463.04 = 49,414.08/x
  3. Step 3: Cross multiply
    133,574.32x = 200,463.04 × 49,414.08
  4. Step 4: Simplify right side
    133,574.32x = 9,905,696,695.60
  5. Step 5: Solve for x
    x = 9,905,696,695.60/133,574.32
  6. Step 6: Final answer
    x = 74,158.69

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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.