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Finding the Fourth Proportional to 258,772.48, 357,103.12 and 144,050.56

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Solution

The fourth proportional to 258,772.48, 357,103.12 and 144,050.56 is: 198,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,772.48 : 357,103.12 = 144,050.56 : x
  2. Step 2: Convert to fraction form
    258,772.48/357,103.12 = 144,050.56/x
  3. Step 3: Cross multiply
    258,772.48x = 357,103.12 × 144,050.56
  4. Step 4: Simplify right side
    258,772.48x = 51,440,904,413.75
  5. Step 5: Solve for x
    x = 51,440,904,413.75/258,772.48
  6. Step 6: Final answer
    x = 198,788.16

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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.