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Finding the Fourth Proportional to 211,708.60, 292,161.18 and 116,224

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Solution

The fourth proportional to 211,708.60, 292,161.18 and 116,224 is: 160,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,708.60 : 292,161.18 = 116,224 : x
  2. Step 2: Convert to fraction form
    211,708.60/292,161.18 = 116,224/x
  3. Step 3: Cross multiply
    211,708.60x = 292,161.18 × 116,224
  4. Step 4: Simplify right side
    211,708.60x = 33,956,140,984.32
  5. Step 5: Solve for x
    x = 33,956,140,984.32/211,708.60
  6. Step 6: Final answer
    x = 160,390.94

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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.