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Finding the Fourth Proportional to 180,464, 270,694.76 and 141,054.24

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Solution

The fourth proportional to 180,464, 270,694.76 and 141,054.24 is: 211,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,464 : 270,694.76 = 141,054.24 : x
  2. Step 2: Convert to fraction form
    180,464/270,694.76 = 141,054.24/x
  3. Step 3: Cross multiply
    180,464x = 270,694.76 × 141,054.24
  4. Step 4: Simplify right side
    180,464x = 38,182,643,643.78
  5. Step 5: Solve for x
    x = 38,182,643,643.78/180,464
  6. Step 6: Final answer
    x = 211,580.39

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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.