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Finding the Fourth Proportional to 105,057.76, 144,992.16 and 59,749.84

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Solution

The fourth proportional to 105,057.76, 144,992.16 and 59,749.84 is: 82,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.76 : 144,992.16 = 59,749.84 : x
  2. Step 2: Convert to fraction form
    105,057.76/144,992.16 = 59,749.84/x
  3. Step 3: Cross multiply
    105,057.76x = 144,992.16 × 59,749.84
  4. Step 4: Simplify right side
    105,057.76x = 8,663,258,361.25
  5. Step 5: Solve for x
    x = 8,663,258,361.25/105,057.76
  6. Step 6: Final answer
    x = 82,461.86

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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.