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Finding the Fourth Proportional to 259,102.65, 357,558.03 and 144,386.13

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Solution

The fourth proportional to 259,102.65, 357,558.03 and 144,386.13 is: 199,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,102.65 : 357,558.03 = 144,386.13 : x
  2. Step 2: Convert to fraction form
    259,102.65/357,558.03 = 144,386.13/x
  3. Step 3: Cross multiply
    259,102.65x = 357,558.03 × 144,386.13
  4. Step 4: Simplify right side
    259,102.65x = 51,626,420,202.12
  5. Step 5: Solve for x
    x = 51,626,420,202.12/259,102.65
  6. Step 6: Final answer
    x = 199,250.84

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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.