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Finding the Fourth Proportional to 139,491, 209,328.66 and 65,624.76

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Solution

The fourth proportional to 139,491, 209,328.66 and 65,624.76 is: 98,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,491 : 209,328.66 = 65,624.76 : x
  2. Step 2: Convert to fraction form
    139,491/209,328.66 = 65,624.76/x
  3. Step 3: Cross multiply
    139,491x = 209,328.66 × 65,624.76
  4. Step 4: Simplify right side
    139,491x = 13,737,143,073.62
  5. Step 5: Solve for x
    x = 13,737,143,073.62/139,491
  6. Step 6: Final answer
    x = 98,480.50

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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.