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Finding the Fourth Proportional to 270,727.76, 406,088.76 and 104,399.12

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Solution

The fourth proportional to 270,727.76, 406,088.76 and 104,399.12 is: 156,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,727.76 : 406,088.76 = 104,399.12 : x
  2. Step 2: Convert to fraction form
    270,727.76/406,088.76 = 104,399.12/x
  3. Step 3: Cross multiply
    270,727.76x = 406,088.76 × 104,399.12
  4. Step 4: Simplify right side
    270,727.76x = 42,395,309,185.89
  5. Step 5: Solve for x
    x = 42,395,309,185.89/270,727.76
  6. Step 6: Final answer
    x = 156,597.57

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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.