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Finding the Fourth Proportional to 277,602.28, 383,125.86 and 164,468.20

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Solution

The fourth proportional to 277,602.28, 383,125.86 and 164,468.20 is: 226,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,602.28 : 383,125.86 = 164,468.20 : x
  2. Step 2: Convert to fraction form
    277,602.28/383,125.86 = 164,468.20/x
  3. Step 3: Cross multiply
    277,602.28x = 383,125.86 × 164,468.20
  4. Step 4: Simplify right side
    277,602.28x = 63,012,020,567.65
  5. Step 5: Solve for x
    x = 63,012,020,567.65/277,602.28
  6. Step 6: Final answer
    x = 226,986.68

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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.