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Finding the Fourth Proportional to 114,596.80, 171,938.40 and 55,484.80

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Solution

The fourth proportional to 114,596.80, 171,938.40 and 55,484.80 is: 83,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,596.80 : 171,938.40 = 55,484.80 : x
  2. Step 2: Convert to fraction form
    114,596.80/171,938.40 = 55,484.80/x
  3. Step 3: Cross multiply
    114,596.80x = 171,938.40 × 55,484.80
  4. Step 4: Simplify right side
    114,596.80x = 9,539,967,736.32
  5. Step 5: Solve for x
    x = 9,539,967,736.32/114,596.80
  6. Step 6: Final answer
    x = 83,248.12

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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.