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Finding the Fourth Proportional to 114,211.40, 171,317.10 and 29,971.40

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Solution

The fourth proportional to 114,211.40, 171,317.10 and 29,971.40 is: 44,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,211.40 : 171,317.10 = 29,971.40 : x
  2. Step 2: Convert to fraction form
    114,211.40/171,317.10 = 29,971.40/x
  3. Step 3: Cross multiply
    114,211.40x = 171,317.10 × 29,971.40
  4. Step 4: Simplify right side
    114,211.40x = 5,134,613,330.94
  5. Step 5: Solve for x
    x = 5,134,613,330.94/114,211.40
  6. Step 6: Final answer
    x = 44,957.10

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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.