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Finding the Fourth Proportional to 270,155.16, 405,232.96 and 70,475.32

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Solution

The fourth proportional to 270,155.16, 405,232.96 and 70,475.32 is: 105,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,155.16 : 405,232.96 = 70,475.32 : x
  2. Step 2: Convert to fraction form
    270,155.16/405,232.96 = 70,475.32/x
  3. Step 3: Cross multiply
    270,155.16x = 405,232.96 × 70,475.32
  4. Step 4: Simplify right side
    270,155.16x = 28,558,922,530.55
  5. Step 5: Solve for x
    x = 28,558,922,530.55/270,155.16
  6. Step 6: Final answer
    x = 105,713.04

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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.