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Finding the Fourth Proportional to 289,106.62, 433,856.15 and 102,118.12

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Solution

The fourth proportional to 289,106.62, 433,856.15 and 102,118.12 is: 153,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,106.62 : 433,856.15 = 102,118.12 : x
  2. Step 2: Convert to fraction form
    289,106.62/433,856.15 = 102,118.12/x
  3. Step 3: Cross multiply
    289,106.62x = 433,856.15 × 102,118.12
  4. Step 4: Simplify right side
    289,106.62x = 44,304,573,176.15
  5. Step 5: Solve for x
    x = 44,304,573,176.15/289,106.62
  6. Step 6: Final answer
    x = 153,246.49

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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.