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Finding the Fourth Proportional to 109,357.86, 164,007.30 and 46,178.40

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Solution

The fourth proportional to 109,357.86, 164,007.30 and 46,178.40 is: 69,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,357.86 : 164,007.30 = 46,178.40 : x
  2. Step 2: Convert to fraction form
    109,357.86/164,007.30 = 46,178.40/x
  3. Step 3: Cross multiply
    109,357.86x = 164,007.30 × 46,178.40
  4. Step 4: Simplify right side
    109,357.86x = 7,573,594,702.32
  5. Step 5: Solve for x
    x = 7,573,594,702.32/109,357.86
  6. Step 6: Final answer
    x = 69,255.15

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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.