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Finding the Fourth Proportional to 144,597.42, 216,933.53 and 84,676.50

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Solution

The fourth proportional to 144,597.42, 216,933.53 and 84,676.50 is: 127,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,597.42 : 216,933.53 = 84,676.50 : x
  2. Step 2: Convert to fraction form
    144,597.42/216,933.53 = 84,676.50/x
  3. Step 3: Cross multiply
    144,597.42x = 216,933.53 × 84,676.50
  4. Step 4: Simplify right side
    144,597.42x = 18,369,171,629.66
  5. Step 5: Solve for x
    x = 18,369,171,629.66/144,597.42
  6. Step 6: Final answer
    x = 127,036.65

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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.