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Finding the Fourth Proportional to 292,006.62, 402,945.03 and 164,713.50

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Solution

The fourth proportional to 292,006.62, 402,945.03 and 164,713.50 is: 227,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,006.62 : 402,945.03 = 164,713.50 : x
  2. Step 2: Convert to fraction form
    292,006.62/402,945.03 = 164,713.50/x
  3. Step 3: Cross multiply
    292,006.62x = 402,945.03 × 164,713.50
  4. Step 4: Simplify right side
    292,006.62x = 66,370,486,198.91
  5. Step 5: Solve for x
    x = 66,370,486,198.91/292,006.62
  6. Step 6: Final answer
    x = 227,291.03

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