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Finding the Fourth Proportional to 317,081.12, 475,670.80 and 106,702.64

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Solution

The fourth proportional to 317,081.12, 475,670.80 and 106,702.64 is: 160,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,081.12 : 475,670.80 = 106,702.64 : x
  2. Step 2: Convert to fraction form
    317,081.12/475,670.80 = 106,702.64/x
  3. Step 3: Cross multiply
    317,081.12x = 475,670.80 × 106,702.64
  4. Step 4: Simplify right side
    317,081.12x = 50,755,330,130.91
  5. Step 5: Solve for x
    x = 50,755,330,130.91/317,081.12
  6. Step 6: Final answer
    x = 160,070.49

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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.