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Finding the Fourth Proportional to 176,083.80, 263,952.90 and 157,421.40

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Solution

The fourth proportional to 176,083.80, 263,952.90 and 157,421.40 is: 235,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,083.80 : 263,952.90 = 157,421.40 : x
  2. Step 2: Convert to fraction form
    176,083.80/263,952.90 = 157,421.40/x
  3. Step 3: Cross multiply
    176,083.80x = 263,952.90 × 157,421.40
  4. Step 4: Simplify right side
    176,083.80x = 41,551,835,052.06
  5. Step 5: Solve for x
    x = 41,551,835,052.06/176,083.80
  6. Step 6: Final answer
    x = 235,977.61

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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.