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Finding the Fourth Proportional to 241,659.68, 333,465.52 and 141,116

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Solution

The fourth proportional to 241,659.68, 333,465.52 and 141,116 is: 194,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,659.68 : 333,465.52 = 141,116 : x
  2. Step 2: Convert to fraction form
    241,659.68/333,465.52 = 141,116/x
  3. Step 3: Cross multiply
    241,659.68x = 333,465.52 × 141,116
  4. Step 4: Simplify right side
    241,659.68x = 47,057,320,320.32
  5. Step 5: Solve for x
    x = 47,057,320,320.32/241,659.68
  6. Step 6: Final answer
    x = 194,725.58

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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.