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Finding the Fourth Proportional to 160,294.94, 240,490.55 and 47,978.82

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Solution

The fourth proportional to 160,294.94, 240,490.55 and 47,978.82 is: 71,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,294.94 : 240,490.55 = 47,978.82 : x
  2. Step 2: Convert to fraction form
    160,294.94/240,490.55 = 47,978.82/x
  3. Step 3: Cross multiply
    160,294.94x = 240,490.55 × 47,978.82
  4. Step 4: Simplify right side
    160,294.94x = 11,538,452,570.26
  5. Step 5: Solve for x
    x = 11,538,452,570.26/160,294.94
  6. Step 6: Final answer
    x = 71,982.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.