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Finding the Fourth Proportional to 202,897.40, 304,346.10 and 194,732.60

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Solution

The fourth proportional to 202,897.40, 304,346.10 and 194,732.60 is: 292,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,897.40 : 304,346.10 = 194,732.60 : x
  2. Step 2: Convert to fraction form
    202,897.40/304,346.10 = 194,732.60/x
  3. Step 3: Cross multiply
    202,897.40x = 304,346.10 × 194,732.60
  4. Step 4: Simplify right side
    202,897.40x = 59,266,107,352.86
  5. Step 5: Solve for x
    x = 59,266,107,352.86/202,897.40
  6. Step 6: Final answer
    x = 292,098.90

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1.5x scale

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.