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Finding the Fourth Proportional to 101,670.14, 140,304.78 and 56,958.14

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Solution

The fourth proportional to 101,670.14, 140,304.78 and 56,958.14 is: 78,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,670.14 : 140,304.78 = 56,958.14 : x
  2. Step 2: Convert to fraction form
    101,670.14/140,304.78 = 56,958.14/x
  3. Step 3: Cross multiply
    101,670.14x = 140,304.78 × 56,958.14
  4. Step 4: Simplify right side
    101,670.14x = 7,991,499,301.91
  5. Step 5: Solve for x
    x = 7,991,499,301.91/101,670.14
  6. Step 6: Final answer
    x = 78,602.23

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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.