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Finding the Fourth Proportional to 228,816.74, 315,417.08 and 160,642.46

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Solution

The fourth proportional to 228,816.74, 315,417.08 and 160,642.46 is: 221,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,816.74 : 315,417.08 = 160,642.46 : x
  2. Step 2: Convert to fraction form
    228,816.74/315,417.08 = 160,642.46/x
  3. Step 3: Cross multiply
    228,816.74x = 315,417.08 × 160,642.46
  4. Step 4: Simplify right side
    228,816.74x = 50,669,375,657.22
  5. Step 5: Solve for x
    x = 50,669,375,657.22/228,816.74
  6. Step 6: Final answer
    x = 221,440.86

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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.