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Finding the Fourth Proportional to 208,065.66, 312,024.68 and 74,910.16

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Solution

The fourth proportional to 208,065.66, 312,024.68 and 74,910.16 is: 112,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065.66 : 312,024.68 = 74,910.16 : x
  2. Step 2: Convert to fraction form
    208,065.66/312,024.68 = 74,910.16/x
  3. Step 3: Cross multiply
    208,065.66x = 312,024.68 × 74,910.16
  4. Step 4: Simplify right side
    208,065.66x = 23,373,818,702.75
  5. Step 5: Solve for x
    x = 23,373,818,702.75/208,065.66
  6. Step 6: Final answer
    x = 112,338.67

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1.5x scale

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.