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Finding the Fourth Proportional to 170,833.12, 256,256.16 and 46,174.16

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Solution

The fourth proportional to 170,833.12, 256,256.16 and 46,174.16 is: 69,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,833.12 : 256,256.16 = 46,174.16 : x
  2. Step 2: Convert to fraction form
    170,833.12/256,256.16 = 46,174.16/x
  3. Step 3: Cross multiply
    170,833.12x = 256,256.16 × 46,174.16
  4. Step 4: Simplify right side
    170,833.12x = 11,832,412,932.83
  5. Step 5: Solve for x
    x = 11,832,412,932.83/170,833.12
  6. Step 6: Final answer
    x = 69,262.99

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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.