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Finding the Fourth Proportional to 180,031.92, 248,465.16 and 108,448.08

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Solution

The fourth proportional to 180,031.92, 248,465.16 and 108,448.08 is: 149,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,031.92 : 248,465.16 = 108,448.08 : x
  2. Step 2: Convert to fraction form
    180,031.92/248,465.16 = 108,448.08/x
  3. Step 3: Cross multiply
    180,031.92x = 248,465.16 × 108,448.08
  4. Step 4: Simplify right side
    180,031.92x = 26,945,569,548.89
  5. Step 5: Solve for x
    x = 26,945,569,548.89/180,031.92
  6. Step 6: Final answer
    x = 149,671.07

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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.