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Finding the Fourth Proportional to 212,383, 293,085.03 and 116,887.78

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Solution

The fourth proportional to 212,383, 293,085.03 and 116,887.78 is: 161,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,383 : 293,085.03 = 116,887.78 : x
  2. Step 2: Convert to fraction form
    212,383/293,085.03 = 116,887.78/x
  3. Step 3: Cross multiply
    212,383x = 293,085.03 × 116,887.78
  4. Step 4: Simplify right side
    212,383x = 34,258,058,507.93
  5. Step 5: Solve for x
    x = 34,258,058,507.93/212,383
  6. Step 6: Final answer
    x = 161,303.20

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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.