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Finding the Fourth Proportional to 212,284.16, 292,951.72 and 116,790.64

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Solution

The fourth proportional to 212,284.16, 292,951.72 and 116,790.64 is: 161,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,284.16 : 292,951.72 = 116,790.64 : x
  2. Step 2: Convert to fraction form
    212,284.16/292,951.72 = 116,790.64/x
  3. Step 3: Cross multiply
    212,284.16x = 292,951.72 × 116,790.64
  4. Step 4: Simplify right side
    212,284.16x = 34,214,018,867.90
  5. Step 5: Solve for x
    x = 34,214,018,867.90/212,284.16
  6. Step 6: Final answer
    x = 161,170.85

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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.