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Finding the Fourth Proportional to 93,413.40, 140,116.14 and 43,476.30

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Solution

The fourth proportional to 93,413.40, 140,116.14 and 43,476.30 is: 65,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,413.40 : 140,116.14 = 43,476.30 : x
  2. Step 2: Convert to fraction form
    93,413.40/140,116.14 = 43,476.30/x
  3. Step 3: Cross multiply
    93,413.40x = 140,116.14 × 43,476.30
  4. Step 4: Simplify right side
    93,413.40x = 6,091,731,337.48
  5. Step 5: Solve for x
    x = 6,091,731,337.48/93,413.40
  6. Step 6: Final answer
    x = 65,212.61

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Why These Related Problems?

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