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Finding the Fourth Proportional to 292,095.30, 402,997.05 and 163,012.80

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Solution

The fourth proportional to 292,095.30, 402,997.05 and 163,012.80 is: 224,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,095.30 : 402,997.05 = 163,012.80 : x
  2. Step 2: Convert to fraction form
    292,095.30/402,997.05 = 163,012.80/x
  3. Step 3: Cross multiply
    292,095.30x = 402,997.05 × 163,012.80
  4. Step 4: Simplify right side
    292,095.30x = 65,693,677,512.24
  5. Step 5: Solve for x
    x = 65,693,677,512.24/292,095.30
  6. Step 6: Final answer
    x = 224,904.95

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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.