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Finding the Fourth Proportional to 82,866.14, 114,354.68 and 45,140.40

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Solution

The fourth proportional to 82,866.14, 114,354.68 and 45,140.40 is: 62,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.14 : 114,354.68 = 45,140.40 : x
  2. Step 2: Convert to fraction form
    82,866.14/114,354.68 = 45,140.40/x
  3. Step 3: Cross multiply
    82,866.14x = 114,354.68 × 45,140.40
  4. Step 4: Simplify right side
    82,866.14x = 5,162,015,997.07
  5. Step 5: Solve for x
    x = 5,162,015,997.07/82,866.14
  6. Step 6: Final answer
    x = 62,293.43

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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.