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Finding the Fourth Proportional to 270,492.77, 405,776.07 and 112,684.32

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Solution

The fourth proportional to 270,492.77, 405,776.07 and 112,684.32 is: 169,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,492.77 : 405,776.07 = 112,684.32 : x
  2. Step 2: Convert to fraction form
    270,492.77/405,776.07 = 112,684.32/x
  3. Step 3: Cross multiply
    270,492.77x = 405,776.07 × 112,684.32
  4. Step 4: Simplify right side
    270,492.77x = 45,724,600,520.22
  5. Step 5: Solve for x
    x = 45,724,600,520.22/270,492.77
  6. Step 6: Final answer
    x = 169,041.86

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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.