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Finding the Fourth Proportional to 259,288.68, 357,816.26 and 144,565.96

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Solution

The fourth proportional to 259,288.68, 357,816.26 and 144,565.96 is: 199,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,288.68 : 357,816.26 = 144,565.96 : x
  2. Step 2: Convert to fraction form
    259,288.68/357,816.26 = 144,565.96/x
  3. Step 3: Cross multiply
    259,288.68x = 357,816.26 × 144,565.96
  4. Step 4: Simplify right side
    259,288.68x = 51,728,051,130.51
  5. Step 5: Solve for x
    x = 51,728,051,130.51/259,288.68
  6. Step 6: Final answer
    x = 199,499.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.