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Finding the Fourth Proportional to 139,280.16, 192,203.64 and 75,617.40

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Solution

The fourth proportional to 139,280.16, 192,203.64 and 75,617.40 is: 104,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,280.16 : 192,203.64 = 75,617.40 : x
  2. Step 2: Convert to fraction form
    139,280.16/192,203.64 = 75,617.40/x
  3. Step 3: Cross multiply
    139,280.16x = 192,203.64 × 75,617.40
  4. Step 4: Simplify right side
    139,280.16x = 14,533,939,527.34
  5. Step 5: Solve for x
    x = 14,533,939,527.34/139,280.16
  6. Step 6: Final answer
    x = 104,350.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.