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Finding the Fourth Proportional to 136,746.91, 205,144.44 and 46,768.47

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Solution

The fourth proportional to 136,746.91, 205,144.44 and 46,768.47 is: 70,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,746.91 : 205,144.44 = 46,768.47 : x
  2. Step 2: Convert to fraction form
    136,746.91/205,144.44 = 46,768.47/x
  3. Step 3: Cross multiply
    136,746.91x = 205,144.44 × 46,768.47
  4. Step 4: Simplify right side
    136,746.91x = 9,594,291,587.81
  5. Step 5: Solve for x
    x = 9,594,291,587.81/136,746.91
  6. Step 6: Final answer
    x = 70,160.94

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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.