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Finding the Fourth Proportional to 270,097.10, 405,145.96 and 70,417.32

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Solution

The fourth proportional to 270,097.10, 405,145.96 and 70,417.32 is: 105,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,097.10 : 405,145.96 = 70,417.32 : x
  2. Step 2: Convert to fraction form
    270,097.10/405,145.96 = 70,417.32/x
  3. Step 3: Cross multiply
    270,097.10x = 405,145.96 × 70,417.32
  4. Step 4: Simplify right side
    270,097.10x = 28,529,292,712.03
  5. Step 5: Solve for x
    x = 28,529,292,712.03/270,097.10
  6. Step 6: Final answer
    x = 105,626.06

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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.