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Finding the Fourth Proportional to 96,182.81, 144,228.81 and 56,213.26

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Solution

The fourth proportional to 96,182.81, 144,228.81 and 56,213.26 is: 84,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,182.81 : 144,228.81 = 56,213.26 : x
  2. Step 2: Convert to fraction form
    96,182.81/144,228.81 = 56,213.26/x
  3. Step 3: Cross multiply
    96,182.81x = 144,228.81 × 56,213.26
  4. Step 4: Simplify right side
    96,182.81x = 8,107,571,314.95
  5. Step 5: Solve for x
    x = 8,107,571,314.95/96,182.81
  6. Step 6: Final answer
    x = 84,293.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.