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Finding the Fourth Proportional to 295,118.96, 407,263.32 and 160,982

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Solution

The fourth proportional to 295,118.96, 407,263.32 and 160,982 is: 222,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,118.96 : 407,263.32 = 160,982 : x
  2. Step 2: Convert to fraction form
    295,118.96/407,263.32 = 160,982/x
  3. Step 3: Cross multiply
    295,118.96x = 407,263.32 × 160,982
  4. Step 4: Simplify right side
    295,118.96x = 65,562,063,780.24
  5. Step 5: Solve for x
    x = 65,562,063,780.24/295,118.96
  6. Step 6: Final answer
    x = 222,154.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.