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Finding the Fourth Proportional to 259,178.74, 357,668.32 and 144,464.66

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Solution

The fourth proportional to 259,178.74, 357,668.32 and 144,464.66 is: 199,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,178.74 : 357,668.32 = 144,464.66 : x
  2. Step 2: Convert to fraction form
    259,178.74/357,668.32 = 144,464.66/x
  3. Step 3: Cross multiply
    259,178.74x = 357,668.32 × 144,464.66
  4. Step 4: Simplify right side
    259,178.74x = 51,670,432,241.57
  5. Step 5: Solve for x
    x = 51,670,432,241.57/259,178.74
  6. Step 6: Final answer
    x = 199,362.16

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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.