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Finding the Fourth Proportional to 201,300.80, 302,534.40 and 197,801.60

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Solution

The fourth proportional to 201,300.80, 302,534.40 and 197,801.60 is: 297,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,300.80 : 302,534.40 = 197,801.60 : x
  2. Step 2: Convert to fraction form
    201,300.80/302,534.40 = 197,801.60/x
  3. Step 3: Cross multiply
    201,300.80x = 302,534.40 × 197,801.60
  4. Step 4: Simplify right side
    201,300.80x = 59,841,788,375.04
  5. Step 5: Solve for x
    x = 59,841,788,375.04/201,300.80
  6. Step 6: Final answer
    x = 297,275.46

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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.