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Finding the Fourth Proportional to 114,993.84, 158,690.29 and 64,005.76

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Solution

The fourth proportional to 114,993.84, 158,690.29 and 64,005.76 is: 88,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,993.84 : 158,690.29 = 64,005.76 : x
  2. Step 2: Convert to fraction form
    114,993.84/158,690.29 = 64,005.76/x
  3. Step 3: Cross multiply
    114,993.84x = 158,690.29 × 64,005.76
  4. Step 4: Simplify right side
    114,993.84x = 10,157,092,059.33
  5. Step 5: Solve for x
    x = 10,157,092,059.33/114,993.84
  6. Step 6: Final answer
    x = 88,327.27

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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.