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Finding the Fourth Proportional to 261,803.40, 392,705.10 and 137,128.20

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Solution

The fourth proportional to 261,803.40, 392,705.10 and 137,128.20 is: 205,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,803.40 : 392,705.10 = 137,128.20 : x
  2. Step 2: Convert to fraction form
    261,803.40/392,705.10 = 137,128.20/x
  3. Step 3: Cross multiply
    261,803.40x = 392,705.10 × 137,128.20
  4. Step 4: Simplify right side
    261,803.40x = 53,850,943,493.82
  5. Step 5: Solve for x
    x = 53,850,943,493.82/261,803.40
  6. Step 6: Final answer
    x = 205,692.30

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