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Finding the Fourth Proportional to 197,712.40, 296,437.56 and 109,008.40

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Solution

The fourth proportional to 197,712.40, 296,437.56 and 109,008.40 is: 163,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,712.40 : 296,437.56 = 109,008.40 : x
  2. Step 2: Convert to fraction form
    197,712.40/296,437.56 = 109,008.40/x
  3. Step 3: Cross multiply
    197,712.40x = 296,437.56 × 109,008.40
  4. Step 4: Simplify right side
    197,712.40x = 32,314,184,115.50
  5. Step 5: Solve for x
    x = 32,314,184,115.50/197,712.40
  6. Step 6: Final answer
    x = 163,440.35

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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.