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Finding the Fourth Proportional to 212,783.72, 293,641.46 and 117,292.01

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Solution

The fourth proportional to 212,783.72, 293,641.46 and 117,292.01 is: 161,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,783.72 : 293,641.46 = 117,292.01 : x
  2. Step 2: Convert to fraction form
    212,783.72/293,641.46 = 117,292.01/x
  3. Step 3: Cross multiply
    212,783.72x = 293,641.46 × 117,292.01
  4. Step 4: Simplify right side
    212,783.72x = 34,441,797,062.73
  5. Step 5: Solve for x
    x = 34,441,797,062.73/212,783.72
  6. Step 6: Final answer
    x = 161,862.93

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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.