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Finding the Fourth Proportional to 75,898.70, 106,413.70 and 75,898.70

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Solution

The fourth proportional to 75,898.70, 106,413.70 and 75,898.70 is: 106,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898.70 : 106,413.70 = 75,898.70 : x
  2. Step 2: Convert to fraction form
    75,898.70/106,413.70 = 75,898.70/x
  3. Step 3: Cross multiply
    75,898.70x = 106,413.70 × 75,898.70
  4. Step 4: Simplify right side
    75,898.70x = 8,076,661,492.19
  5. Step 5: Solve for x
    x = 8,076,661,492.19/75,898.70
  6. Step 6: Final answer
    x = 106,413.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.