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Finding the Fourth Proportional to 136,854.87, 205,287.95 and 46,959.38

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Solution

The fourth proportional to 136,854.87, 205,287.95 and 46,959.38 is: 70,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,854.87 : 205,287.95 = 46,959.38 : x
  2. Step 2: Convert to fraction form
    136,854.87/205,287.95 = 46,959.38/x
  3. Step 3: Cross multiply
    136,854.87x = 205,287.95 × 46,959.38
  4. Step 4: Simplify right side
    136,854.87x = 9,640,194,714.26
  5. Step 5: Solve for x
    x = 9,640,194,714.26/136,854.87
  6. Step 6: Final answer
    x = 70,441.01

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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.