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Finding the Fourth Proportional to 292,022.50, 402,990.86 and 164,697.80

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Solution

The fourth proportional to 292,022.50, 402,990.86 and 164,697.80 is: 227,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,022.50 : 402,990.86 = 164,697.80 : x
  2. Step 2: Convert to fraction form
    292,022.50/402,990.86 = 164,697.80/x
  3. Step 3: Cross multiply
    292,022.50x = 402,990.86 × 164,697.80
  4. Step 4: Simplify right side
    292,022.50x = 66,371,708,062.11
  5. Step 5: Solve for x
    x = 66,371,708,062.11/292,022.50
  6. Step 6: Final answer
    x = 227,282.86

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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.