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Finding the Fourth Proportional to 255,062.97, 352,017.23 and 146,206.26

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Solution

The fourth proportional to 255,062.97, 352,017.23 and 146,206.26 is: 201,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,062.97 : 352,017.23 = 146,206.26 : x
  2. Step 2: Convert to fraction form
    255,062.97/352,017.23 = 146,206.26/x
  3. Step 3: Cross multiply
    255,062.97x = 352,017.23 × 146,206.26
  4. Step 4: Simplify right side
    255,062.97x = 51,467,121,922.83
  5. Step 5: Solve for x
    x = 51,467,121,922.83/255,062.97
  6. Step 6: Final answer
    x = 201,782.02

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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.