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Finding the Fourth Proportional to 186,772.64, 278,702.22 and 166,643.76

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Solution

The fourth proportional to 186,772.64, 278,702.22 and 166,643.76 is: 248,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,772.64 : 278,702.22 = 166,643.76 : x
  2. Step 2: Convert to fraction form
    186,772.64/278,702.22 = 166,643.76/x
  3. Step 3: Cross multiply
    186,772.64x = 278,702.22 × 166,643.76
  4. Step 4: Simplify right side
    186,772.64x = 46,443,985,861.15
  5. Step 5: Solve for x
    x = 46,443,985,861.15/186,772.64
  6. Step 6: Final answer
    x = 248,665.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.