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Finding the Fourth Proportional to 133,218.64, 199,671.12 and 48,950.80

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Solution

The fourth proportional to 133,218.64, 199,671.12 and 48,950.80 is: 73,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,218.64 : 199,671.12 = 48,950.80 : x
  2. Step 2: Convert to fraction form
    133,218.64/199,671.12 = 48,950.80/x
  3. Step 3: Cross multiply
    133,218.64x = 199,671.12 × 48,950.80
  4. Step 4: Simplify right side
    133,218.64x = 9,774,061,060.90
  5. Step 5: Solve for x
    x = 9,774,061,060.90/133,218.64
  6. Step 6: Final answer
    x = 73,368.57

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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.