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Finding the Fourth Proportional to 229,113.68, 343,692.84 and 85,058.24

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Solution

The fourth proportional to 229,113.68, 343,692.84 and 85,058.24 is: 127,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,113.68 : 343,692.84 = 85,058.24 : x
  2. Step 2: Convert to fraction form
    229,113.68/343,692.84 = 85,058.24/x
  3. Step 3: Cross multiply
    229,113.68x = 343,692.84 × 85,058.24
  4. Step 4: Simplify right side
    229,113.68x = 29,233,908,071.00
  5. Step 5: Solve for x
    x = 29,233,908,071.00/229,113.68
  6. Step 6: Final answer
    x = 127,595.65

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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.