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Finding the Fourth Proportional to 114,381.35, 171,570.69 and 46,898.31

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Solution

The fourth proportional to 114,381.35, 171,570.69 and 46,898.31 is: 70,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,381.35 : 171,570.69 = 46,898.31 : x
  2. Step 2: Convert to fraction form
    114,381.35/171,570.69 = 46,898.31/x
  3. Step 3: Cross multiply
    114,381.35x = 171,570.69 × 46,898.31
  4. Step 4: Simplify right side
    114,381.35x = 8,046,375,406.53
  5. Step 5: Solve for x
    x = 8,046,375,406.53/114,381.35
  6. Step 6: Final answer
    x = 70,346.92

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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.