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Finding the Fourth Proportional to 212,823.76, 293,698.78 and 117,333.86

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Solution

The fourth proportional to 212,823.76, 293,698.78 and 117,333.86 is: 161,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,823.76 : 293,698.78 = 117,333.86 : x
  2. Step 2: Convert to fraction form
    212,823.76/293,698.78 = 117,333.86/x
  3. Step 3: Cross multiply
    212,823.76x = 293,698.78 × 117,333.86
  4. Step 4: Simplify right side
    212,823.76x = 34,460,811,534.69
  5. Step 5: Solve for x
    x = 34,460,811,534.69/212,823.76
  6. Step 6: Final answer
    x = 161,921.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.