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Finding the Fourth Proportional to 291,224.96, 401,823.96 and 163,854.08

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Solution

The fourth proportional to 291,224.96, 401,823.96 and 163,854.08 is: 226,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,224.96 : 401,823.96 = 163,854.08 : x
  2. Step 2: Convert to fraction form
    291,224.96/401,823.96 = 163,854.08/x
  3. Step 3: Cross multiply
    291,224.96x = 401,823.96 × 163,854.08
  4. Step 4: Simplify right side
    291,224.96x = 65,840,495,287.76
  5. Step 5: Solve for x
    x = 65,840,495,287.76/291,224.96
  6. Step 6: Final answer
    x = 226,081.22

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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.