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Finding the Fourth Proportional to 176,998.30, 265,324.65 and 158,335.90

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Solution

The fourth proportional to 176,998.30, 265,324.65 and 158,335.90 is: 237,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,998.30 : 265,324.65 = 158,335.90 : x
  2. Step 2: Convert to fraction form
    176,998.30/265,324.65 = 158,335.90/x
  3. Step 3: Cross multiply
    176,998.30x = 265,324.65 × 158,335.90
  4. Step 4: Simplify right side
    176,998.30x = 42,010,417,249.94
  5. Step 5: Solve for x
    x = 42,010,417,249.94/176,998.30
  6. Step 6: Final answer
    x = 237,349.27

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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.