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Finding the Fourth Proportional to 138,962.64, 191,768.94 and 75,300.24

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Solution

The fourth proportional to 138,962.64, 191,768.94 and 75,300.24 is: 103,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,962.64 : 191,768.94 = 75,300.24 : x
  2. Step 2: Convert to fraction form
    138,962.64/191,768.94 = 75,300.24/x
  3. Step 3: Cross multiply
    138,962.64x = 191,768.94 × 75,300.24
  4. Step 4: Simplify right side
    138,962.64x = 14,440,247,206.55
  5. Step 5: Solve for x
    x = 14,440,247,206.55/138,962.64
  6. Step 6: Final answer
    x = 103,914.60

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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.