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Finding the Fourth Proportional to 295,265.96, 407,467.06 and 182,154.44

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Solution

The fourth proportional to 295,265.96, 407,467.06 and 182,154.44 is: 251,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,265.96 : 407,467.06 = 182,154.44 : x
  2. Step 2: Convert to fraction form
    295,265.96/407,467.06 = 182,154.44/x
  3. Step 3: Cross multiply
    295,265.96x = 407,467.06 × 182,154.44
  4. Step 4: Simplify right side
    295,265.96x = 74,221,934,132.75
  5. Step 5: Solve for x
    x = 74,221,934,132.75/295,265.96
  6. Step 6: Final answer
    x = 251,373.15

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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.