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Finding the Fourth Proportional to 212,824.76, 293,700.16 and 117,334.86

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Solution

The fourth proportional to 212,824.76, 293,700.16 and 117,334.86 is: 161,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,824.76 : 293,700.16 = 117,334.86 : x
  2. Step 2: Convert to fraction form
    212,824.76/293,700.16 = 117,334.86/x
  3. Step 3: Cross multiply
    212,824.76x = 293,700.16 × 117,334.86
  4. Step 4: Simplify right side
    212,824.76x = 34,461,267,155.58
  5. Step 5: Solve for x
    x = 34,461,267,155.58/212,824.76
  6. Step 6: Final answer
    x = 161,923.20

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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.