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Finding the Fourth Proportional to 274,415.30, 411,386.35 and 106,053.76

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Solution

The fourth proportional to 274,415.30, 411,386.35 and 106,053.76 is: 158,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,415.30 : 411,386.35 = 106,053.76 : x
  2. Step 2: Convert to fraction form
    274,415.30/411,386.35 = 106,053.76/x
  3. Step 3: Cross multiply
    274,415.30x = 411,386.35 × 106,053.76
  4. Step 4: Simplify right side
    274,415.30x = 43,629,069,230.18
  5. Step 5: Solve for x
    x = 43,629,069,230.18/274,415.30
  6. Step 6: Final answer
    x = 158,989.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.