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Finding the Fourth Proportional to 138,197.63, 190,710.48 and 77,768.24

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Solution

The fourth proportional to 138,197.63, 190,710.48 and 77,768.24 is: 107,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197.63 : 190,710.48 = 77,768.24 : x
  2. Step 2: Convert to fraction form
    138,197.63/190,710.48 = 77,768.24/x
  3. Step 3: Cross multiply
    138,197.63x = 190,710.48 × 77,768.24
  4. Step 4: Simplify right side
    138,197.63x = 14,831,217,425.60
  5. Step 5: Solve for x
    x = 14,831,217,425.60/138,197.63
  6. Step 6: Final answer
    x = 107,318.90

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1.5x scale

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.