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Finding the Fourth Proportional to 292,095.80, 402,997.74 and 163,013.30

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Solution

The fourth proportional to 292,095.80, 402,997.74 and 163,013.30 is: 224,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,095.80 : 402,997.74 = 163,013.30 : x
  2. Step 2: Convert to fraction form
    292,095.80/402,997.74 = 163,013.30/x
  3. Step 3: Cross multiply
    292,095.80x = 402,997.74 × 163,013.30
  4. Step 4: Simplify right side
    292,095.80x = 65,693,991,489.94
  5. Step 5: Solve for x
    x = 65,693,991,489.94/292,095.80
  6. Step 6: Final answer
    x = 224,905.64

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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.