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Finding the Fourth Proportional to 212,144.64, 292,767.12 and 116,658.72

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Solution

The fourth proportional to 212,144.64, 292,767.12 and 116,658.72 is: 160,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,144.64 : 292,767.12 = 116,658.72 : x
  2. Step 2: Convert to fraction form
    212,144.64/292,767.12 = 116,658.72/x
  3. Step 3: Cross multiply
    212,144.64x = 292,767.12 × 116,658.72
  4. Step 4: Simplify right side
    212,144.64x = 34,153,837,477.29
  5. Step 5: Solve for x
    x = 34,153,837,477.29/212,144.64
  6. Step 6: Final answer
    x = 160,993.17

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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.