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Finding the Fourth Proportional to 98,778.32, 136,313.80 and 54,066

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Solution

The fourth proportional to 98,778.32, 136,313.80 and 54,066 is: 74,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,778.32 : 136,313.80 = 54,066 : x
  2. Step 2: Convert to fraction form
    98,778.32/136,313.80 = 54,066/x
  3. Step 3: Cross multiply
    98,778.32x = 136,313.80 × 54,066
  4. Step 4: Simplify right side
    98,778.32x = 7,369,941,910.80
  5. Step 5: Solve for x
    x = 7,369,941,910.80/98,778.32
  6. Step 6: Final answer
    x = 74,610.93

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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.