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Finding the Fourth Proportional to 145,913.78, 218,764.10 and 98,410.80

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Solution

The fourth proportional to 145,913.78, 218,764.10 and 98,410.80 is: 147,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,913.78 : 218,764.10 = 98,410.80 : x
  2. Step 2: Convert to fraction form
    145,913.78/218,764.10 = 98,410.80/x
  3. Step 3: Cross multiply
    145,913.78x = 218,764.10 × 98,410.80
  4. Step 4: Simplify right side
    145,913.78x = 21,528,750,092.28
  5. Step 5: Solve for x
    x = 21,528,750,092.28/145,913.78
  6. Step 6: Final answer
    x = 147,544.32

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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.