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Finding the Fourth Proportional to 125,808.14, 188,706.54 and 35,851.16

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Solution

The fourth proportional to 125,808.14, 188,706.54 and 35,851.16 is: 53,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,808.14 : 188,706.54 = 35,851.16 : x
  2. Step 2: Convert to fraction form
    125,808.14/188,706.54 = 35,851.16/x
  3. Step 3: Cross multiply
    125,808.14x = 188,706.54 × 35,851.16
  4. Step 4: Simplify right side
    125,808.14x = 6,765,348,358.59
  5. Step 5: Solve for x
    x = 6,765,348,358.59/125,808.14
  6. Step 6: Final answer
    x = 53,775.12

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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.