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Finding the Fourth Proportional to 241,604.64, 362,406.96 and 83,833.20

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Solution

The fourth proportional to 241,604.64, 362,406.96 and 83,833.20 is: 125,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,604.64 : 362,406.96 = 83,833.20 : x
  2. Step 2: Convert to fraction form
    241,604.64/362,406.96 = 83,833.20/x
  3. Step 3: Cross multiply
    241,604.64x = 362,406.96 × 83,833.20
  4. Step 4: Simplify right side
    241,604.64x = 30,381,735,159.07
  5. Step 5: Solve for x
    x = 30,381,735,159.07/241,604.64
  6. Step 6: Final answer
    x = 125,749.80

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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.