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Finding the Fourth Proportional to 212,830.74, 293,708.46 and 117,340.86

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Solution

The fourth proportional to 212,830.74, 293,708.46 and 117,340.86 is: 161,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,830.74 : 293,708.46 = 117,340.86 : x
  2. Step 2: Convert to fraction form
    212,830.74/293,708.46 = 117,340.86/x
  3. Step 3: Cross multiply
    212,830.74x = 293,708.46 × 117,340.86
  4. Step 4: Simplify right side
    212,830.74x = 34,464,003,285.68
  5. Step 5: Solve for x
    x = 34,464,003,285.68/212,830.74
  6. Step 6: Final answer
    x = 161,931.51

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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.