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Finding the Fourth Proportional to 114,283.76, 157,728.12 and 63,986

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Solution

The fourth proportional to 114,283.76, 157,728.12 and 63,986 is: 88,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,283.76 : 157,728.12 = 63,986 : x
  2. Step 2: Convert to fraction form
    114,283.76/157,728.12 = 63,986/x
  3. Step 3: Cross multiply
    114,283.76x = 157,728.12 × 63,986
  4. Step 4: Simplify right side
    114,283.76x = 10,092,391,486.32
  5. Step 5: Solve for x
    x = 10,092,391,486.32/114,283.76
  6. Step 6: Final answer
    x = 88,309.94

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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.