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Finding the Fourth Proportional to 212,087.32, 292,686.08 and 116,596.42

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Solution

The fourth proportional to 212,087.32, 292,686.08 and 116,596.42 is: 160,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,087.32 : 292,686.08 = 116,596.42 : x
  2. Step 2: Convert to fraction form
    212,087.32/292,686.08 = 116,596.42/x
  3. Step 3: Cross multiply
    212,087.32x = 292,686.08 × 116,596.42
  4. Step 4: Simplify right side
    212,087.32x = 34,126,149,111.83
  5. Step 5: Solve for x
    x = 34,126,149,111.83/212,087.32
  6. Step 6: Final answer
    x = 160,906.13

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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.