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Finding the Fourth Proportional to 188,876.16, 283,412.70 and 83,670.53

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Solution

The fourth proportional to 188,876.16, 283,412.70 and 83,670.53 is: 125,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,876.16 : 283,412.70 = 83,670.53 : x
  2. Step 2: Convert to fraction form
    188,876.16/283,412.70 = 83,670.53/x
  3. Step 3: Cross multiply
    188,876.16x = 283,412.70 × 83,670.53
  4. Step 4: Simplify right side
    188,876.16x = 23,713,289,400.67
  5. Step 5: Solve for x
    x = 23,713,289,400.67/188,876.16
  6. Step 6: Final answer
    x = 125,549.40

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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.