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Finding the Fourth Proportional to 105,703.68, 145,873.08 and 57,954.18

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Solution

The fourth proportional to 105,703.68, 145,873.08 and 57,954.18 is: 79,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,703.68 : 145,873.08 = 57,954.18 : x
  2. Step 2: Convert to fraction form
    105,703.68/145,873.08 = 57,954.18/x
  3. Step 3: Cross multiply
    105,703.68x = 145,873.08 × 57,954.18
  4. Step 4: Simplify right side
    105,703.68x = 8,453,954,735.47
  5. Step 5: Solve for x
    x = 8,453,954,735.47/105,703.68
  6. Step 6: Final answer
    x = 79,977.87

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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.