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Finding the Fourth Proportional to 114,632.52, 171,788.62 and 97,676.96

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Solution

The fourth proportional to 114,632.52, 171,788.62 and 97,676.96 is: 146,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,632.52 : 171,788.62 = 97,676.96 : x
  2. Step 2: Convert to fraction form
    114,632.52/171,788.62 = 97,676.96/x
  3. Step 3: Cross multiply
    114,632.52x = 171,788.62 × 97,676.96
  4. Step 4: Simplify right side
    114,632.52x = 16,779,790,968.39
  5. Step 5: Solve for x
    x = 16,779,790,968.39/114,632.52
  6. Step 6: Final answer
    x = 146,378.98

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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.