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Finding the Fourth Proportional to 106,461.50, 159,360.08 and 78,413.22

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Solution

The fourth proportional to 106,461.50, 159,360.08 and 78,413.22 is: 117,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461.50 : 159,360.08 = 78,413.22 : x
  2. Step 2: Convert to fraction form
    106,461.50/159,360.08 = 78,413.22/x
  3. Step 3: Cross multiply
    106,461.50x = 159,360.08 × 78,413.22
  4. Step 4: Simplify right side
    106,461.50x = 12,495,937,208.29
  5. Step 5: Solve for x
    x = 12,495,937,208.29/106,461.50
  6. Step 6: Final answer
    x = 117,375.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.