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Finding the Fourth Proportional to 133,061.32, 199,533.66 and 49,897

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Solution

The fourth proportional to 133,061.32, 199,533.66 and 49,897 is: 74,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,061.32 : 199,533.66 = 49,897 : x
  2. Step 2: Convert to fraction form
    133,061.32/199,533.66 = 49,897/x
  3. Step 3: Cross multiply
    133,061.32x = 199,533.66 × 49,897
  4. Step 4: Simplify right side
    133,061.32x = 9,956,131,033.02
  5. Step 5: Solve for x
    x = 9,956,131,033.02/133,061.32
  6. Step 6: Final answer
    x = 74,823.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.