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Finding the Fourth Proportional to 292,057.45, 438,086.14 and 123,534.05

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Solution

The fourth proportional to 292,057.45, 438,086.14 and 123,534.05 is: 185,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,057.45 : 438,086.14 = 123,534.05 : x
  2. Step 2: Convert to fraction form
    292,057.45/438,086.14 = 123,534.05/x
  3. Step 3: Cross multiply
    292,057.45x = 438,086.14 × 123,534.05
  4. Step 4: Simplify right side
    292,057.45x = 54,118,552,623.80
  5. Step 5: Solve for x
    x = 54,118,552,623.80/292,057.45
  6. Step 6: Final answer
    x = 185,301.05

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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.