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Finding the Fourth Proportional to 201,975.52, 302,970.99 and 75,602.47

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Solution

The fourth proportional to 201,975.52, 302,970.99 and 75,602.47 is: 113,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,975.52 : 302,970.99 = 75,602.47 : x
  2. Step 2: Convert to fraction form
    201,975.52/302,970.99 = 75,602.47/x
  3. Step 3: Cross multiply
    201,975.52x = 302,970.99 × 75,602.47
  4. Step 4: Simplify right side
    201,975.52x = 22,905,355,182.35
  5. Step 5: Solve for x
    x = 22,905,355,182.35/201,975.52
  6. Step 6: Final answer
    x = 113,406.59

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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.