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Finding the Fourth Proportional to 212,058.88, 292,543.72 and 187,884.50

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Solution

The fourth proportional to 212,058.88, 292,543.72 and 187,884.50 is: 259,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,058.88 : 292,543.72 = 187,884.50 : x
  2. Step 2: Convert to fraction form
    212,058.88/292,543.72 = 187,884.50/x
  3. Step 3: Cross multiply
    212,058.88x = 292,543.72 × 187,884.50
  4. Step 4: Simplify right side
    212,058.88x = 54,964,430,560.34
  5. Step 5: Solve for x
    x = 54,964,430,560.34/212,058.88
  6. Step 6: Final answer
    x = 259,194.19

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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.