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Finding the Fourth Proportional to 259,198.70, 357,695.96 and 144,484.77

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Solution

The fourth proportional to 259,198.70, 357,695.96 and 144,484.77 is: 199,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,198.70 : 357,695.96 = 144,484.77 : x
  2. Step 2: Convert to fraction form
    259,198.70/357,695.96 = 144,484.77/x
  3. Step 3: Cross multiply
    259,198.70x = 357,695.96 × 144,484.77
  4. Step 4: Simplify right side
    259,198.70x = 51,681,617,788.11
  5. Step 5: Solve for x
    x = 51,681,617,788.11/259,198.70
  6. Step 6: Final answer
    x = 199,389.96

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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.