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Finding the Fourth Proportional to 270,904.68, 406,395.12 and 113,097.24

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Solution

The fourth proportional to 270,904.68, 406,395.12 and 113,097.24 is: 169,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,904.68 : 406,395.12 = 113,097.24 : x
  2. Step 2: Convert to fraction form
    270,904.68/406,395.12 = 113,097.24/x
  3. Step 3: Cross multiply
    270,904.68x = 406,395.12 × 113,097.24
  4. Step 4: Simplify right side
    270,904.68x = 45,962,166,421.47
  5. Step 5: Solve for x
    x = 45,962,166,421.47/270,904.68
  6. Step 6: Final answer
    x = 169,661.77

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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.