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Finding the Fourth Proportional to 149,342.80, 223,868.40 and 133,596.40

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Solution

The fourth proportional to 149,342.80, 223,868.40 and 133,596.40 is: 200,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,342.80 : 223,868.40 = 133,596.40 : x
  2. Step 2: Convert to fraction form
    149,342.80/223,868.40 = 133,596.40/x
  3. Step 3: Cross multiply
    149,342.80x = 223,868.40 × 133,596.40
  4. Step 4: Simplify right side
    149,342.80x = 29,908,012,313.76
  5. Step 5: Solve for x
    x = 29,908,012,313.76/149,342.80
  6. Step 6: Final answer
    x = 200,264.17

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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.