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Finding the Fourth Proportional to 291,098.96, 401,695.08 and 163,750.04

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Solution

The fourth proportional to 291,098.96, 401,695.08 and 163,750.04 is: 225,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,098.96 : 401,695.08 = 163,750.04 : x
  2. Step 2: Convert to fraction form
    291,098.96/401,695.08 = 163,750.04/x
  3. Step 3: Cross multiply
    291,098.96x = 401,695.08 × 163,750.04
  4. Step 4: Simplify right side
    291,098.96x = 65,777,585,417.80
  5. Step 5: Solve for x
    x = 65,777,585,417.80/291,098.96
  6. Step 6: Final answer
    x = 225,962.97

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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.