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Finding the Fourth Proportional to 208,446.50, 312,688.20 and 58,688.08

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Solution

The fourth proportional to 208,446.50, 312,688.20 and 58,688.08 is: 88,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,446.50 : 312,688.20 = 58,688.08 : x
  2. Step 2: Convert to fraction form
    208,446.50/312,688.20 = 58,688.08/x
  3. Step 3: Cross multiply
    208,446.50x = 312,688.20 × 58,688.08
  4. Step 4: Simplify right side
    208,446.50x = 18,351,069,535.02
  5. Step 5: Solve for x
    x = 18,351,069,535.02/208,446.50
  6. Step 6: Final answer
    x = 88,037.31

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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.