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Finding the Fourth Proportional to 145,388.20, 218,009.40 and 66,413.20

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Solution

The fourth proportional to 145,388.20, 218,009.40 and 66,413.20 is: 99,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,388.20 : 218,009.40 = 66,413.20 : x
  2. Step 2: Convert to fraction form
    145,388.20/218,009.40 = 66,413.20/x
  3. Step 3: Cross multiply
    145,388.20x = 218,009.40 × 66,413.20
  4. Step 4: Simplify right side
    145,388.20x = 14,478,701,884.08
  5. Step 5: Solve for x
    x = 14,478,701,884.08/145,388.20
  6. Step 6: Final answer
    x = 99,586.50

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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.