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Finding the Fourth Proportional to 197,203.64, 295,592.28 and 78,744.80

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Solution

The fourth proportional to 197,203.64, 295,592.28 and 78,744.80 is: 118,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,203.64 : 295,592.28 = 78,744.80 : x
  2. Step 2: Convert to fraction form
    197,203.64/295,592.28 = 78,744.80/x
  3. Step 3: Cross multiply
    197,203.64x = 295,592.28 × 78,744.80
  4. Step 4: Simplify right side
    197,203.64x = 23,276,354,970.14
  5. Step 5: Solve for x
    x = 23,276,354,970.14/197,203.64
  6. Step 6: Final answer
    x = 118,032.08

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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.