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Finding the Fourth Proportional to 139,186.84, 192,077.34 and 75,523.48

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Solution

The fourth proportional to 139,186.84, 192,077.34 and 75,523.48 is: 104,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,186.84 : 192,077.34 = 75,523.48 : x
  2. Step 2: Convert to fraction form
    139,186.84/192,077.34 = 75,523.48/x
  3. Step 3: Cross multiply
    139,186.84x = 192,077.34 × 75,523.48
  4. Step 4: Simplify right side
    139,186.84x = 14,506,349,145.94
  5. Step 5: Solve for x
    x = 14,506,349,145.94/139,186.84
  6. Step 6: Final answer
    x = 104,222.13

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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.