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Finding the Fourth Proportional to 211,875, 292,387.50 and 116,383.29

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Solution

The fourth proportional to 211,875, 292,387.50 and 116,383.29 is: 160,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,875 : 292,387.50 = 116,383.29 : x
  2. Step 2: Convert to fraction form
    211,875/292,387.50 = 116,383.29/x
  3. Step 3: Cross multiply
    211,875x = 292,387.50 × 116,383.29
  4. Step 4: Simplify right side
    211,875x = 34,029,019,204.88
  5. Step 5: Solve for x
    x = 34,029,019,204.88/211,875
  6. Step 6: Final answer
    x = 160,608.94

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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.