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Finding the Fourth Proportional to 116,702.56, 174,639.12 and 85,460.32

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Solution

The fourth proportional to 116,702.56, 174,639.12 and 85,460.32 is: 127,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,702.56 : 174,639.12 = 85,460.32 : x
  2. Step 2: Convert to fraction form
    116,702.56/174,639.12 = 85,460.32/x
  3. Step 3: Cross multiply
    116,702.56x = 174,639.12 × 85,460.32
  4. Step 4: Simplify right side
    116,702.56x = 14,924,715,079.72
  5. Step 5: Solve for x
    x = 14,924,715,079.72/116,702.56
  6. Step 6: Final answer
    x = 127,886.78

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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.