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Finding the Fourth Proportional to 114,364.10, 171,740.55 and 84,815.30

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Solution

The fourth proportional to 114,364.10, 171,740.55 and 84,815.30 is: 127,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,364.10 : 171,740.55 = 84,815.30 : x
  2. Step 2: Convert to fraction form
    114,364.10/171,740.55 = 84,815.30/x
  3. Step 3: Cross multiply
    114,364.10x = 171,740.55 × 84,815.30
  4. Step 4: Simplify right side
    114,364.10x = 14,566,226,270.42
  5. Step 5: Solve for x
    x = 14,566,226,270.42/114,364.10
  6. Step 6: Final answer
    x = 127,367.12

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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.