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Finding the Fourth Proportional to 291,148.96, 401,793.40 and 163,829.04

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Solution

The fourth proportional to 291,148.96, 401,793.40 and 163,829.04 is: 226,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,148.96 : 401,793.40 = 163,829.04 : x
  2. Step 2: Convert to fraction form
    291,148.96/401,793.40 = 163,829.04/x
  3. Step 3: Cross multiply
    291,148.96x = 401,793.40 × 163,829.04
  4. Step 4: Simplify right side
    291,148.96x = 65,825,427,000.34
  5. Step 5: Solve for x
    x = 65,825,427,000.34/291,148.96
  6. Step 6: Final answer
    x = 226,088.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.