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Finding the Fourth Proportional to 112,434, 155,159.34 and 62,133

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Solution

The fourth proportional to 112,434, 155,159.34 and 62,133 is: 85,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,434 : 155,159.34 = 62,133 : x
  2. Step 2: Convert to fraction form
    112,434/155,159.34 = 62,133/x
  3. Step 3: Cross multiply
    112,434x = 155,159.34 × 62,133
  4. Step 4: Simplify right side
    112,434x = 9,640,515,272.22
  5. Step 5: Solve for x
    x = 9,640,515,272.22/112,434
  6. Step 6: Final answer
    x = 85,743.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.