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Finding the Fourth Proportional to 180,053.64, 270,138.78 and 86,547.24

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Solution

The fourth proportional to 180,053.64, 270,138.78 and 86,547.24 is: 129,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,053.64 : 270,138.78 = 86,547.24 : x
  2. Step 2: Convert to fraction form
    180,053.64/270,138.78 = 86,547.24/x
  3. Step 3: Cross multiply
    180,053.64x = 270,138.78 × 86,547.24
  4. Step 4: Simplify right side
    180,053.64x = 23,379,765,825.97
  5. Step 5: Solve for x
    x = 23,379,765,825.97/180,053.64
  6. Step 6: Final answer
    x = 129,848.89

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1.5x scale

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.