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Finding the Fourth Proportional to 212,026.66, 292,584.40 and 116,533.42

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Solution

The fourth proportional to 212,026.66, 292,584.40 and 116,533.42 is: 160,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,026.66 : 292,584.40 = 116,533.42 : x
  2. Step 2: Convert to fraction form
    212,026.66/292,584.40 = 116,533.42/x
  3. Step 3: Cross multiply
    212,026.66x = 292,584.40 × 116,533.42
  4. Step 4: Simplify right side
    212,026.66x = 34,095,859,747.85
  5. Step 5: Solve for x
    x = 34,095,859,747.85/212,026.66
  6. Step 6: Final answer
    x = 160,809.31

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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.