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Finding the Fourth Proportional to 98,716.96, 136,230.48 and 54,004

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Solution

The fourth proportional to 98,716.96, 136,230.48 and 54,004 is: 74,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,716.96 : 136,230.48 = 54,004 : x
  2. Step 2: Convert to fraction form
    98,716.96/136,230.48 = 54,004/x
  3. Step 3: Cross multiply
    98,716.96x = 136,230.48 × 54,004
  4. Step 4: Simplify right side
    98,716.96x = 7,356,990,841.92
  5. Step 5: Solve for x
    x = 7,356,990,841.92/98,716.96
  6. Step 6: Final answer
    x = 74,526.11

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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.