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Finding the Fourth Proportional to 102,102.01, 152,977.14 and 79,657.01

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Solution

The fourth proportional to 102,102.01, 152,977.14 and 79,657.01 is: 119,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.01 : 152,977.14 = 79,657.01 : x
  2. Step 2: Convert to fraction form
    102,102.01/152,977.14 = 79,657.01/x
  3. Step 3: Cross multiply
    102,102.01x = 152,977.14 × 79,657.01
  4. Step 4: Simplify right side
    102,102.01x = 12,185,701,570.75
  5. Step 5: Solve for x
    x = 12,185,701,570.75/102,102.01
  6. Step 6: Final answer
    x = 119,348.30

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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.