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Finding the Fourth Proportional to 180,324.64, 248,747.92 and 104,864.80

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Solution

The fourth proportional to 180,324.64, 248,747.92 and 104,864.80 is: 144,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,324.64 : 248,747.92 = 104,864.80 : x
  2. Step 2: Convert to fraction form
    180,324.64/248,747.92 = 104,864.80/x
  3. Step 3: Cross multiply
    180,324.64x = 248,747.92 × 104,864.80
  4. Step 4: Simplify right side
    180,324.64x = 26,084,900,881.22
  5. Step 5: Solve for x
    x = 26,084,900,881.22/180,324.64
  6. Step 6: Final answer
    x = 144,655.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.