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Finding the Fourth Proportional to 268,046.51, 369,904.54 and 147,195.59

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Solution

The fourth proportional to 268,046.51, 369,904.54 and 147,195.59 is: 203,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,046.51 : 369,904.54 = 147,195.59 : x
  2. Step 2: Convert to fraction form
    268,046.51/369,904.54 = 147,195.59/x
  3. Step 3: Cross multiply
    268,046.51x = 369,904.54 × 147,195.59
  4. Step 4: Simplify right side
    268,046.51x = 54,448,317,008.98
  5. Step 5: Solve for x
    x = 54,448,317,008.98/268,046.51
  6. Step 6: Final answer
    x = 203,130.11

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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.