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Finding the Fourth Proportional to 291,072.16, 401,675.84 and 163,748.64

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Solution

The fourth proportional to 291,072.16, 401,675.84 and 163,748.64 is: 225,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,072.16 : 401,675.84 = 163,748.64 : x
  2. Step 2: Convert to fraction form
    291,072.16/401,675.84 = 163,748.64/x
  3. Step 3: Cross multiply
    291,072.16x = 401,675.84 × 163,748.64
  4. Step 4: Simplify right side
    291,072.16x = 65,773,872,520.86
  5. Step 5: Solve for x
    x = 65,773,872,520.86/291,072.16
  6. Step 6: Final answer
    x = 225,971.02

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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.