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Finding the Fourth Proportional to 201,208.10, 301,852.65 and 59,053.10

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Solution

The fourth proportional to 201,208.10, 301,852.65 and 59,053.10 is: 88,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208.10 : 301,852.65 = 59,053.10 : x
  2. Step 2: Convert to fraction form
    201,208.10/301,852.65 = 59,053.10/x
  3. Step 3: Cross multiply
    201,208.10x = 301,852.65 × 59,053.10
  4. Step 4: Simplify right side
    201,208.10x = 17,825,334,725.72
  5. Step 5: Solve for x
    x = 17,825,334,725.72/201,208.10
  6. Step 6: Final answer
    x = 88,591.54

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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.