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Finding the Fourth Proportional to 140,570.56, 194,018.51 and 97,024.26

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Solution

The fourth proportional to 140,570.56, 194,018.51 and 97,024.26 is: 133,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,570.56 : 194,018.51 = 97,024.26 : x
  2. Step 2: Convert to fraction form
    140,570.56/194,018.51 = 97,024.26/x
  3. Step 3: Cross multiply
    140,570.56x = 194,018.51 × 97,024.26
  4. Step 4: Simplify right side
    140,570.56x = 18,824,501,873.93
  5. Step 5: Solve for x
    x = 18,824,501,873.93/140,570.56
  6. Step 6: Final answer
    x = 133,914.97

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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.