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Finding the Fourth Proportional to 188,188.16, 282,337.69 and 75,810.55

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Solution

The fourth proportional to 188,188.16, 282,337.69 and 75,810.55 is: 113,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,188.16 : 282,337.69 = 75,810.55 : x
  2. Step 2: Convert to fraction form
    188,188.16/282,337.69 = 75,810.55/x
  3. Step 3: Cross multiply
    188,188.16x = 282,337.69 × 75,810.55
  4. Step 4: Simplify right side
    188,188.16x = 21,404,175,564.63
  5. Step 5: Solve for x
    x = 21,404,175,564.63/188,188.16
  6. Step 6: Final answer
    x = 113,738.16

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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.