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Finding the Fourth Proportional to 349,051.68, 523,093.08 and 159,047.70

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Solution

The fourth proportional to 349,051.68, 523,093.08 and 159,047.70 is: 238,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,051.68 : 523,093.08 = 159,047.70 : x
  2. Step 2: Convert to fraction form
    349,051.68/523,093.08 = 159,047.70/x
  3. Step 3: Cross multiply
    349,051.68x = 523,093.08 × 159,047.70
  4. Step 4: Simplify right side
    349,051.68x = 83,196,751,259.92
  5. Step 5: Solve for x
    x = 83,196,751,259.92/349,051.68
  6. Step 6: Final answer
    x = 238,350.81

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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.