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Finding the Fourth Proportional to 204,702.88, 307,146.48 and 111,068.32

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Solution

The fourth proportional to 204,702.88, 307,146.48 and 111,068.32 is: 166,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,702.88 : 307,146.48 = 111,068.32 : x
  2. Step 2: Convert to fraction form
    204,702.88/307,146.48 = 111,068.32/x
  3. Step 3: Cross multiply
    204,702.88x = 307,146.48 × 111,068.32
  4. Step 4: Simplify right side
    204,702.88x = 34,114,243,527.51
  5. Step 5: Solve for x
    x = 34,114,243,527.51/204,702.88
  6. Step 6: Final answer
    x = 166,652.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.