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Finding the Fourth Proportional to 110,473.98, 152,460.09 and 65,178.51

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Solution

The fourth proportional to 110,473.98, 152,460.09 and 65,178.51 is: 89,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,473.98 : 152,460.09 = 65,178.51 : x
  2. Step 2: Convert to fraction form
    110,473.98/152,460.09 = 65,178.51/x
  3. Step 3: Cross multiply
    110,473.98x = 152,460.09 × 65,178.51
  4. Step 4: Simplify right side
    110,473.98x = 9,937,121,500.67
  5. Step 5: Solve for x
    x = 9,937,121,500.67/110,473.98
  6. Step 6: Final answer
    x = 89,949.88

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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.