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Finding the Fourth Proportional to 201,300.30, 302,533.65 and 197,801.10

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Solution

The fourth proportional to 201,300.30, 302,533.65 and 197,801.10 is: 297,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,300.30 : 302,533.65 = 197,801.10 : x
  2. Step 2: Convert to fraction form
    201,300.30/302,533.65 = 197,801.10/x
  3. Step 3: Cross multiply
    201,300.30x = 302,533.65 × 197,801.10
  4. Step 4: Simplify right side
    201,300.30x = 59,841,488,757.02
  5. Step 5: Solve for x
    x = 59,841,488,757.02/201,300.30
  6. Step 6: Final answer
    x = 297,274.71

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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.