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Finding the Fourth Proportional to 135,758.40, 187,346.16 and 75,338.16

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Solution

The fourth proportional to 135,758.40, 187,346.16 and 75,338.16 is: 103,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,758.40 : 187,346.16 = 75,338.16 : x
  2. Step 2: Convert to fraction form
    135,758.40/187,346.16 = 75,338.16/x
  3. Step 3: Cross multiply
    135,758.40x = 187,346.16 × 75,338.16
  4. Step 4: Simplify right side
    135,758.40x = 14,114,314,977.47
  5. Step 5: Solve for x
    x = 14,114,314,977.47/135,758.40
  6. Step 6: Final answer
    x = 103,966.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.