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Finding the Fourth Proportional to 197,151.60, 295,921.80 and 97,424.40

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Solution

The fourth proportional to 197,151.60, 295,921.80 and 97,424.40 is: 146,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,151.60 : 295,921.80 = 97,424.40 : x
  2. Step 2: Convert to fraction form
    197,151.60/295,921.80 = 97,424.40/x
  3. Step 3: Cross multiply
    197,151.60x = 295,921.80 × 97,424.40
  4. Step 4: Simplify right side
    197,151.60x = 28,830,003,811.92
  5. Step 5: Solve for x
    x = 28,830,003,811.92/197,151.60
  6. Step 6: Final answer
    x = 146,232.66

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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.