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Finding the Fourth Proportional to 259,032.30, 357,464.25 and 145,855.86

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Solution

The fourth proportional to 259,032.30, 357,464.25 and 145,855.86 is: 201,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,032.30 : 357,464.25 = 145,855.86 : x
  2. Step 2: Convert to fraction form
    259,032.30/357,464.25 = 145,855.86/x
  3. Step 3: Cross multiply
    259,032.30x = 357,464.25 × 145,855.86
  4. Step 4: Simplify right side
    259,032.30x = 52,138,255,603.01
  5. Step 5: Solve for x
    x = 52,138,255,603.01/259,032.30
  6. Step 6: Final answer
    x = 201,280.90

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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.