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Finding the Fourth Proportional to 160,298.94, 240,496.54 and 47,982.82

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Solution

The fourth proportional to 160,298.94, 240,496.54 and 47,982.82 is: 71,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,298.94 : 240,496.54 = 47,982.82 : x
  2. Step 2: Convert to fraction form
    160,298.94/240,496.54 = 47,982.82/x
  3. Step 3: Cross multiply
    160,298.94x = 240,496.54 × 47,982.82
  4. Step 4: Simplify right side
    160,298.94x = 11,539,702,189.44
  5. Step 5: Solve for x
    x = 11,539,702,189.44/160,298.94
  6. Step 6: Final answer
    x = 71,988.64

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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.