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Finding the Fourth Proportional to 236,038.12, 353,872.12 and 160,971.64

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Solution

The fourth proportional to 236,038.12, 353,872.12 and 160,971.64 is: 241,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,038.12 : 353,872.12 = 160,971.64 : x
  2. Step 2: Convert to fraction form
    236,038.12/353,872.12 = 160,971.64/x
  3. Step 3: Cross multiply
    236,038.12x = 353,872.12 × 160,971.64
  4. Step 4: Simplify right side
    236,038.12x = 56,963,375,506.68
  5. Step 5: Solve for x
    x = 56,963,375,506.68/236,038.12
  6. Step 6: Final answer
    x = 241,331.25

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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.