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Finding the Fourth Proportional to 100,294.31, 138,410.67 and 57,277.55

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Solution

The fourth proportional to 100,294.31, 138,410.67 and 57,277.55 is: 79,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.31 : 138,410.67 = 57,277.55 : x
  2. Step 2: Convert to fraction form
    100,294.31/138,410.67 = 57,277.55/x
  3. Step 3: Cross multiply
    100,294.31x = 138,410.67 × 57,277.55
  4. Step 4: Simplify right side
    100,294.31x = 7,927,823,379.41
  5. Step 5: Solve for x
    x = 7,927,823,379.41/100,294.31
  6. Step 6: Final answer
    x = 79,045.60

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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.