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Finding the Fourth Proportional to 105,159.60, 145,122.30 and 57,413.07

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Solution

The fourth proportional to 105,159.60, 145,122.30 and 57,413.07 is: 79,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.60 : 145,122.30 = 57,413.07 : x
  2. Step 2: Convert to fraction form
    105,159.60/145,122.30 = 57,413.07/x
  3. Step 3: Cross multiply
    105,159.60x = 145,122.30 × 57,413.07
  4. Step 4: Simplify right side
    105,159.60x = 8,331,916,768.46
  5. Step 5: Solve for x
    x = 8,331,916,768.46/105,159.60
  6. Step 6: Final answer
    x = 79,231.16

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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.