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Finding the Fourth Proportional to 255,431.68, 383,147.61 and 105,507.19

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Solution

The fourth proportional to 255,431.68, 383,147.61 and 105,507.19 is: 158,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,431.68 : 383,147.61 = 105,507.19 : x
  2. Step 2: Convert to fraction form
    255,431.68/383,147.61 = 105,507.19/x
  3. Step 3: Cross multiply
    255,431.68x = 383,147.61 × 105,507.19
  4. Step 4: Simplify right side
    255,431.68x = 40,424,827,686.32
  5. Step 5: Solve for x
    x = 40,424,827,686.32/255,431.68
  6. Step 6: Final answer
    x = 158,260.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.