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Finding the Fourth Proportional to 180,521.52, 270,825.54 and 55,862.52

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Solution

The fourth proportional to 180,521.52, 270,825.54 and 55,862.52 is: 83,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,521.52 : 270,825.54 = 55,862.52 : x
  2. Step 2: Convert to fraction form
    180,521.52/270,825.54 = 55,862.52/x
  3. Step 3: Cross multiply
    180,521.52x = 270,825.54 × 55,862.52
  4. Step 4: Simplify right side
    180,521.52x = 15,128,997,144.76
  5. Step 5: Solve for x
    x = 15,128,997,144.76/180,521.52
  6. Step 6: Final answer
    x = 83,807.17

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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.