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Finding the Fourth Proportional to 154,824, 232,275.03 and 44,016

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Solution

The fourth proportional to 154,824, 232,275.03 and 44,016 is: 66,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,824 : 232,275.03 = 44,016 : x
  2. Step 2: Convert to fraction form
    154,824/232,275.03 = 44,016/x
  3. Step 3: Cross multiply
    154,824x = 232,275.03 × 44,016
  4. Step 4: Simplify right side
    154,824x = 10,223,817,720.48
  5. Step 5: Solve for x
    x = 10,223,817,720.48/154,824
  6. Step 6: Final answer
    x = 66,035.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.