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Finding the Fourth Proportional to 212,214.32, 292,858.08 and 116,721.80

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Solution

The fourth proportional to 212,214.32, 292,858.08 and 116,721.80 is: 161,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,214.32 : 292,858.08 = 116,721.80 : x
  2. Step 2: Convert to fraction form
    212,214.32/292,858.08 = 116,721.80/x
  3. Step 3: Cross multiply
    212,214.32x = 292,858.08 × 116,721.80
  4. Step 4: Simplify right side
    212,214.32x = 34,182,922,242.14
  5. Step 5: Solve for x
    x = 34,182,922,242.14/212,214.32
  6. Step 6: Final answer
    x = 161,077.36

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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.