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Finding the Fourth Proportional to 197,956.80, 296,740.80 and 98,132.40

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Solution

The fourth proportional to 197,956.80, 296,740.80 and 98,132.40 is: 147,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,956.80 : 296,740.80 = 98,132.40 : x
  2. Step 2: Convert to fraction form
    197,956.80/296,740.80 = 98,132.40/x
  3. Step 3: Cross multiply
    197,956.80x = 296,740.80 × 98,132.40
  4. Step 4: Simplify right side
    197,956.80x = 29,119,886,881.92
  5. Step 5: Solve for x
    x = 29,119,886,881.92/197,956.80
  6. Step 6: Final answer
    x = 147,102.23

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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.