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Finding the Fourth Proportional to 114,432.42, 171,696 and 61,779.98

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Solution

The fourth proportional to 114,432.42, 171,696 and 61,779.98 is: 92,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,432.42 : 171,696 = 61,779.98 : x
  2. Step 2: Convert to fraction form
    114,432.42/171,696 = 61,779.98/x
  3. Step 3: Cross multiply
    114,432.42x = 171,696 × 61,779.98
  4. Step 4: Simplify right side
    114,432.42x = 10,607,375,446.08
  5. Step 5: Solve for x
    x = 10,607,375,446.08/114,432.42
  6. Step 6: Final answer
    x = 92,695.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.