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Finding the Fourth Proportional to 102,100.20, 152,804.70 and 89,658.60

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Solution

The fourth proportional to 102,100.20, 152,804.70 and 89,658.60 is: 134,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.20 : 152,804.70 = 89,658.60 : x
  2. Step 2: Convert to fraction form
    102,100.20/152,804.70 = 89,658.60/x
  3. Step 3: Cross multiply
    102,100.20x = 152,804.70 × 89,658.60
  4. Step 4: Simplify right side
    102,100.20x = 13,700,255,475.42
  5. Step 5: Solve for x
    x = 13,700,255,475.42/102,100.20
  6. Step 6: Final answer
    x = 134,184.41

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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.