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Finding the Fourth Proportional to 197,407.94, 296,264.18 and 146,921.04

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Solution

The fourth proportional to 197,407.94, 296,264.18 and 146,921.04 is: 220,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,407.94 : 296,264.18 = 146,921.04 : x
  2. Step 2: Convert to fraction form
    197,407.94/296,264.18 = 146,921.04/x
  3. Step 3: Cross multiply
    197,407.94x = 296,264.18 × 146,921.04
  4. Step 4: Simplify right side
    197,407.94x = 43,527,441,807.65
  5. Step 5: Solve for x
    x = 43,527,441,807.65/197,407.94
  6. Step 6: Final answer
    x = 220,494.89

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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.