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Finding the Fourth Proportional to 139,392, 209,180.16 and 65,525.76

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Solution

The fourth proportional to 139,392, 209,180.16 and 65,525.76 is: 98,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,392 : 209,180.16 = 65,525.76 : x
  2. Step 2: Convert to fraction form
    139,392/209,180.16 = 65,525.76/x
  3. Step 3: Cross multiply
    139,392x = 209,180.16 × 65,525.76
  4. Step 4: Simplify right side
    139,392x = 13,706,688,960.92
  5. Step 5: Solve for x
    x = 13,706,688,960.92/139,392
  6. Step 6: Final answer
    x = 98,331.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.