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Finding the Fourth Proportional to 98,413.14, 135,875.51 and 75,712.08

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Solution

The fourth proportional to 98,413.14, 135,875.51 and 75,712.08 is: 104,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.14 : 135,875.51 = 75,712.08 : x
  2. Step 2: Convert to fraction form
    98,413.14/135,875.51 = 75,712.08/x
  3. Step 3: Cross multiply
    98,413.14x = 135,875.51 × 75,712.08
  4. Step 4: Simplify right side
    98,413.14x = 10,287,417,483.16
  5. Step 5: Solve for x
    x = 10,287,417,483.16/98,413.14
  6. Step 6: Final answer
    x = 104,532.97

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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.