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Finding the Fourth Proportional to 139,987, 209,980.50 and 41,491

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Solution

The fourth proportional to 139,987, 209,980.50 and 41,491 is: 62,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,987 : 209,980.50 = 41,491 : x
  2. Step 2: Convert to fraction form
    139,987/209,980.50 = 41,491/x
  3. Step 3: Cross multiply
    139,987x = 209,980.50 × 41,491
  4. Step 4: Simplify right side
    139,987x = 8,712,300,925.50
  5. Step 5: Solve for x
    x = 8,712,300,925.50/139,987
  6. Step 6: Final answer
    x = 62,236.50

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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.