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Finding the Fourth Proportional to 272,526.84, 408,855.69 and 85,538.34

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Solution

The fourth proportional to 272,526.84, 408,855.69 and 85,538.34 is: 128,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,526.84 : 408,855.69 = 85,538.34 : x
  2. Step 2: Convert to fraction form
    272,526.84/408,855.69 = 85,538.34/x
  3. Step 3: Cross multiply
    272,526.84x = 408,855.69 × 85,538.34
  4. Step 4: Simplify right side
    272,526.84x = 34,972,837,022.15
  5. Step 5: Solve for x
    x = 34,972,837,022.15/272,526.84
  6. Step 6: Final answer
    x = 128,328.05

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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.