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Finding the Fourth Proportional to 292,022, 402,990.17 and 164,697.30

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Solution

The fourth proportional to 292,022, 402,990.17 and 164,697.30 is: 227,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,022 : 402,990.17 = 164,697.30 : x
  2. Step 2: Convert to fraction form
    292,022/402,990.17 = 164,697.30/x
  3. Step 3: Cross multiply
    292,022x = 402,990.17 × 164,697.30
  4. Step 4: Simplify right side
    292,022x = 66,371,392,925.54
  5. Step 5: Solve for x
    x = 66,371,392,925.54/292,022
  6. Step 6: Final answer
    x = 227,282.17

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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.