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Finding the Fourth Proportional to 102,106.20, 152,830.80 and 54,602.44

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Solution

The fourth proportional to 102,106.20, 152,830.80 and 54,602.44 is: 81,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,106.20 : 152,830.80 = 54,602.44 : x
  2. Step 2: Convert to fraction form
    102,106.20/152,830.80 = 54,602.44/x
  3. Step 3: Cross multiply
    102,106.20x = 152,830.80 × 54,602.44
  4. Step 4: Simplify right side
    102,106.20x = 8,344,934,205.08
  5. Step 5: Solve for x
    x = 8,344,934,205.08/102,106.20
  6. Step 6: Final answer
    x = 81,727.98

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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.