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Finding the Fourth Proportional to 114,413.12, 157,890 and 64,112.48

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Solution

The fourth proportional to 114,413.12, 157,890 and 64,112.48 is: 88,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,413.12 : 157,890 = 64,112.48 : x
  2. Step 2: Convert to fraction form
    114,413.12/157,890 = 64,112.48/x
  3. Step 3: Cross multiply
    114,413.12x = 157,890 × 64,112.48
  4. Step 4: Simplify right side
    114,413.12x = 10,122,719,467.20
  5. Step 5: Solve for x
    x = 10,122,719,467.20/114,413.12
  6. Step 6: Final answer
    x = 88,475.16

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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.