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Finding the Fourth Proportional to 258,873.98, 357,204.53 and 144,151.25

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Solution

The fourth proportional to 258,873.98, 357,204.53 and 144,151.25 is: 198,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,873.98 : 357,204.53 = 144,151.25 : x
  2. Step 2: Convert to fraction form
    258,873.98/357,204.53 = 144,151.25/x
  3. Step 3: Cross multiply
    258,873.98x = 357,204.53 × 144,151.25
  4. Step 4: Simplify right side
    258,873.98x = 51,491,478,079.52
  5. Step 5: Solve for x
    x = 51,491,478,079.52/258,873.98
  6. Step 6: Final answer
    x = 198,905.58

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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.