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Finding the Fourth Proportional to 212,585.72, 293,364.77 and 117,101.30

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Solution

The fourth proportional to 212,585.72, 293,364.77 and 117,101.30 is: 161,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,585.72 : 293,364.77 = 117,101.30 : x
  2. Step 2: Convert to fraction form
    212,585.72/293,364.77 = 117,101.30/x
  3. Step 3: Cross multiply
    212,585.72x = 293,364.77 × 117,101.30
  4. Step 4: Simplify right side
    212,585.72x = 34,353,393,888.87
  5. Step 5: Solve for x
    x = 34,353,393,888.87/212,585.72
  6. Step 6: Final answer
    x = 161,597.85

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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.