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Finding the Fourth Proportional to 139,319.75, 192,259.56 and 75,658

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Solution

The fourth proportional to 139,319.75, 192,259.56 and 75,658 is: 104,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,319.75 : 192,259.56 = 75,658 : x
  2. Step 2: Convert to fraction form
    139,319.75/192,259.56 = 75,658/x
  3. Step 3: Cross multiply
    139,319.75x = 192,259.56 × 75,658
  4. Step 4: Simplify right side
    139,319.75x = 14,545,973,412.19
  5. Step 5: Solve for x
    x = 14,545,973,412.19/139,319.75
  6. Step 6: Final answer
    x = 104,407.12

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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.