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Finding the Fourth Proportional to 211,369.47, 291,358.53 and 160,177.28

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Solution

The fourth proportional to 211,369.47, 291,358.53 and 160,177.28 is: 220,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,369.47 : 291,358.53 = 160,177.28 : x
  2. Step 2: Convert to fraction form
    211,369.47/291,358.53 = 160,177.28/x
  3. Step 3: Cross multiply
    211,369.47x = 291,358.53 × 160,177.28
  4. Step 4: Simplify right side
    211,369.47x = 46,669,015,383.41
  5. Step 5: Solve for x
    x = 46,669,015,383.41/211,369.47
  6. Step 6: Final answer
    x = 220,793.55

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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.