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Finding the Fourth Proportional to 306,413.92, 459,621.02 and 96,068.26

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Solution

The fourth proportional to 306,413.92, 459,621.02 and 96,068.26 is: 144,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,413.92 : 459,621.02 = 96,068.26 : x
  2. Step 2: Convert to fraction form
    306,413.92/459,621.02 = 96,068.26/x
  3. Step 3: Cross multiply
    306,413.92x = 459,621.02 × 96,068.26
  4. Step 4: Simplify right side
    306,413.92x = 44,154,991,650.83
  5. Step 5: Solve for x
    x = 44,154,991,650.83/306,413.92
  6. Step 6: Final answer
    x = 144,102.43

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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.