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Finding the Fourth Proportional to 277,907.12, 383,644.06 and 186,184.34

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Solution

The fourth proportional to 277,907.12, 383,644.06 and 186,184.34 is: 257,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,907.12 : 383,644.06 = 186,184.34 : x
  2. Step 2: Convert to fraction form
    277,907.12/383,644.06 = 186,184.34/x
  3. Step 3: Cross multiply
    277,907.12x = 383,644.06 × 186,184.34
  4. Step 4: Simplify right side
    277,907.12x = 71,428,516,106.02
  5. Step 5: Solve for x
    x = 71,428,516,106.02/277,907.12
  6. Step 6: Final answer
    x = 257,022.98

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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.