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Finding the Fourth Proportional to 150,266, 207,345.48 and 127,695.44

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Solution

The fourth proportional to 150,266, 207,345.48 and 127,695.44 is: 176,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,266 : 207,345.48 = 127,695.44 : x
  2. Step 2: Convert to fraction form
    150,266/207,345.48 = 127,695.44/x
  3. Step 3: Cross multiply
    150,266x = 207,345.48 × 127,695.44
  4. Step 4: Simplify right side
    150,266x = 26,477,072,300.61
  5. Step 5: Solve for x
    x = 26,477,072,300.61/150,266
  6. Step 6: Final answer
    x = 176,201.35

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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.