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Finding the Fourth Proportional to 107,657.61, 148,413.53 and 75,727.41

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Solution

The fourth proportional to 107,657.61, 148,413.53 and 75,727.41 is: 104,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,657.61 : 148,413.53 = 75,727.41 : x
  2. Step 2: Convert to fraction form
    107,657.61/148,413.53 = 75,727.41/x
  3. Step 3: Cross multiply
    107,657.61x = 148,413.53 × 75,727.41
  4. Step 4: Simplify right side
    107,657.61x = 11,238,971,857.22
  5. Step 5: Solve for x
    x = 11,238,971,857.22/107,657.61
  6. Step 6: Final answer
    x = 104,395.52

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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.