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Finding the Fourth Proportional to 288,177.39, 397,683.81 and 160,851.87

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Solution

The fourth proportional to 288,177.39, 397,683.81 and 160,851.87 is: 221,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,177.39 : 397,683.81 = 160,851.87 : x
  2. Step 2: Convert to fraction form
    288,177.39/397,683.81 = 160,851.87/x
  3. Step 3: Cross multiply
    288,177.39x = 397,683.81 × 160,851.87
  4. Step 4: Simplify right side
    288,177.39x = 63,968,184,507.22
  5. Step 5: Solve for x
    x = 63,968,184,507.22/288,177.39
  6. Step 6: Final answer
    x = 221,975.03

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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.