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Finding the Fourth Proportional to 212,009.64, 292,581 and 116,523.60

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Solution

The fourth proportional to 212,009.64, 292,581 and 116,523.60 is: 160,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,009.64 : 292,581 = 116,523.60 : x
  2. Step 2: Convert to fraction form
    212,009.64/292,581 = 116,523.60/x
  3. Step 3: Cross multiply
    212,009.64x = 292,581 × 116,523.60
  4. Step 4: Simplify right side
    212,009.64x = 34,092,591,411.60
  5. Step 5: Solve for x
    x = 34,092,591,411.60/212,009.64
  6. Step 6: Final answer
    x = 160,806.80

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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.