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Finding the Fourth Proportional to 154,160, 231,240.06 and 43,352

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Solution

The fourth proportional to 154,160, 231,240.06 and 43,352 is: 65,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,160 : 231,240.06 = 43,352 : x
  2. Step 2: Convert to fraction form
    154,160/231,240.06 = 43,352/x
  3. Step 3: Cross multiply
    154,160x = 231,240.06 × 43,352
  4. Step 4: Simplify right side
    154,160x = 10,024,719,081.12
  5. Step 5: Solve for x
    x = 10,024,719,081.12/154,160
  6. Step 6: Final answer
    x = 65,028.02

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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.