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Finding the Fourth Proportional to 259,191.95, 357,688.49 and 144,467.42

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Solution

The fourth proportional to 259,191.95, 357,688.49 and 144,467.42 is: 199,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,191.95 : 357,688.49 = 144,467.42 : x
  2. Step 2: Convert to fraction form
    259,191.95/357,688.49 = 144,467.42/x
  3. Step 3: Cross multiply
    259,191.95x = 357,688.49 × 144,467.42
  4. Step 4: Simplify right side
    259,191.95x = 51,674,330,803.22
  5. Step 5: Solve for x
    x = 51,674,330,803.22/259,191.95
  6. Step 6: Final answer
    x = 199,367.04

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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.