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Finding the Fourth Proportional to 259,090.74, 357,535.78 and 144,363.45

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Solution

The fourth proportional to 259,090.74, 357,535.78 and 144,363.45 is: 199,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,090.74 : 357,535.78 = 144,363.45 : x
  2. Step 2: Convert to fraction form
    259,090.74/357,535.78 = 144,363.45/x
  3. Step 3: Cross multiply
    259,090.74x = 357,535.78 × 144,363.45
  4. Step 4: Simplify right side
    259,090.74x = 51,615,097,977.42
  5. Step 5: Solve for x
    x = 51,615,097,977.42/259,090.74
  6. Step 6: Final answer
    x = 199,216.30

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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.