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Finding the Fourth Proportional to 98,333.60, 147,505.89 and 28,211

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Solution

The fourth proportional to 98,333.60, 147,505.89 and 28,211 is: 42,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,333.60 : 147,505.89 = 28,211 : x
  2. Step 2: Convert to fraction form
    98,333.60/147,505.89 = 28,211/x
  3. Step 3: Cross multiply
    98,333.60x = 147,505.89 × 28,211
  4. Step 4: Simplify right side
    98,333.60x = 4,161,288,662.79
  5. Step 5: Solve for x
    x = 4,161,288,662.79/98,333.60
  6. Step 6: Final answer
    x = 42,318.08

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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.