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Finding the Fourth Proportional to 277,707.96, 416,281.44 and 109,346.43

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Solution

The fourth proportional to 277,707.96, 416,281.44 and 109,346.43 is: 163,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,707.96 : 416,281.44 = 109,346.43 : x
  2. Step 2: Convert to fraction form
    277,707.96/416,281.44 = 109,346.43/x
  3. Step 3: Cross multiply
    277,707.96x = 416,281.44 × 109,346.43
  4. Step 4: Simplify right side
    277,707.96x = 45,518,889,339.26
  5. Step 5: Solve for x
    x = 45,518,889,339.26/277,707.96
  6. Step 6: Final answer
    x = 163,909.20

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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.