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Finding the Fourth Proportional to 259,240.75, 357,758.80 and 144,538.07

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Solution

The fourth proportional to 259,240.75, 357,758.80 and 144,538.07 is: 199,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,240.75 : 357,758.80 = 144,538.07 : x
  2. Step 2: Convert to fraction form
    259,240.75/357,758.80 = 144,538.07/x
  3. Step 3: Cross multiply
    259,240.75x = 357,758.80 × 144,538.07
  4. Step 4: Simplify right side
    259,240.75x = 51,709,766,746.28
  5. Step 5: Solve for x
    x = 51,709,766,746.28/259,240.75
  6. Step 6: Final answer
    x = 199,466.20

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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.