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Finding the Fourth Proportional to 212,146.41, 292,767.08 and 116,653.03

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Solution

The fourth proportional to 212,146.41, 292,767.08 and 116,653.03 is: 160,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,146.41 : 292,767.08 = 116,653.03 : x
  2. Step 2: Convert to fraction form
    212,146.41/292,767.08 = 116,653.03/x
  3. Step 3: Cross multiply
    212,146.41x = 292,767.08 × 116,653.03
  4. Step 4: Simplify right side
    212,146.41x = 34,152,167,297.88
  5. Step 5: Solve for x
    x = 34,152,167,297.88/212,146.41
  6. Step 6: Final answer
    x = 160,983.95

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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.