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Finding the Fourth Proportional to 102,174.98, 153,163.07 and 48,853.10

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Solution

The fourth proportional to 102,174.98, 153,163.07 and 48,853.10 is: 73,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.98 : 153,163.07 = 48,853.10 : x
  2. Step 2: Convert to fraction form
    102,174.98/153,163.07 = 48,853.10/x
  3. Step 3: Cross multiply
    102,174.98x = 153,163.07 × 48,853.10
  4. Step 4: Simplify right side
    102,174.98x = 7,482,490,775.02
  5. Step 5: Solve for x
    x = 7,482,490,775.02/102,174.98
  6. Step 6: Final answer
    x = 73,232.12

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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.