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Finding the Fourth Proportional to 259,265, 357,785.94 and 140,033

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Solution

The fourth proportional to 259,265, 357,785.94 and 140,033 is: 193,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,265 : 357,785.94 = 140,033 : x
  2. Step 2: Convert to fraction form
    259,265/357,785.94 = 140,033/x
  3. Step 3: Cross multiply
    259,265x = 357,785.94 × 140,033
  4. Step 4: Simplify right side
    259,265x = 50,101,838,536.02
  5. Step 5: Solve for x
    x = 50,101,838,536.02/259,265
  6. Step 6: Final answer
    x = 193,245.67

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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.