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Finding the Fourth Proportional to 212,197.32, 292,834.74 and 116,705.61

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Solution

The fourth proportional to 212,197.32, 292,834.74 and 116,705.61 is: 161,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,197.32 : 292,834.74 = 116,705.61 : x
  2. Step 2: Convert to fraction form
    212,197.32/292,834.74 = 116,705.61/x
  3. Step 3: Cross multiply
    212,197.32x = 292,834.74 × 116,705.61
  4. Step 4: Simplify right side
    212,197.32x = 34,175,457,398.54
  5. Step 5: Solve for x
    x = 34,175,457,398.54/212,197.32
  6. Step 6: Final answer
    x = 161,055.08

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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.