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Finding the Fourth Proportional to 211,447, 291,770.04 and 115,928.56

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Solution

The fourth proportional to 211,447, 291,770.04 and 115,928.56 is: 159,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,447 : 291,770.04 = 115,928.56 : x
  2. Step 2: Convert to fraction form
    211,447/291,770.04 = 115,928.56/x
  3. Step 3: Cross multiply
    211,447x = 291,770.04 × 115,928.56
  4. Step 4: Simplify right side
    211,447x = 33,824,480,588.34
  5. Step 5: Solve for x
    x = 33,824,480,588.34/211,447
  6. Step 6: Final answer
    x = 159,966.71

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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.