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Finding the Fourth Proportional to 110,470.06, 152,400.18 and 74,647

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Solution

The fourth proportional to 110,470.06, 152,400.18 and 74,647 is: 102,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,470.06 : 152,400.18 = 74,647 : x
  2. Step 2: Convert to fraction form
    110,470.06/152,400.18 = 74,647/x
  3. Step 3: Cross multiply
    110,470.06x = 152,400.18 × 74,647
  4. Step 4: Simplify right side
    110,470.06x = 11,376,216,236.46
  5. Step 5: Solve for x
    x = 11,376,216,236.46/110,470.06
  6. Step 6: Final answer
    x = 102,980.09

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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.