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Finding the Fourth Proportional to 170,953, 256,399.74 and 46,264.84

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Solution

The fourth proportional to 170,953, 256,399.74 and 46,264.84 is: 69,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,953 : 256,399.74 = 46,264.84 : x
  2. Step 2: Convert to fraction form
    170,953/256,399.74 = 46,264.84/x
  3. Step 3: Cross multiply
    170,953x = 256,399.74 × 46,264.84
  4. Step 4: Simplify right side
    170,953x = 11,862,292,947.14
  5. Step 5: Solve for x
    x = 11,862,292,947.14/170,953
  6. Step 6: Final answer
    x = 69,389.21

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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.