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Finding the Fourth Proportional to 157,014.69, 216,681.84 and 85,396.29

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Solution

The fourth proportional to 157,014.69, 216,681.84 and 85,396.29 is: 117,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,014.69 : 216,681.84 = 85,396.29 : x
  2. Step 2: Convert to fraction form
    157,014.69/216,681.84 = 85,396.29/x
  3. Step 3: Cross multiply
    157,014.69x = 216,681.84 × 85,396.29
  4. Step 4: Simplify right side
    157,014.69x = 18,503,825,246.37
  5. Step 5: Solve for x
    x = 18,503,825,246.37/157,014.69
  6. Step 6: Final answer
    x = 117,847.73

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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.