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Finding the Fourth Proportional to 356,135.40, 534,030.30 and 198,196.20

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Solution

The fourth proportional to 356,135.40, 534,030.30 and 198,196.20 is: 297,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,135.40 : 534,030.30 = 198,196.20 : x
  2. Step 2: Convert to fraction form
    356,135.40/534,030.30 = 198,196.20/x
  3. Step 3: Cross multiply
    356,135.40x = 534,030.30 × 198,196.20
  4. Step 4: Simplify right side
    356,135.40x = 105,842,776,144.86
  5. Step 5: Solve for x
    x = 105,842,776,144.86/356,135.40
  6. Step 6: Final answer
    x = 297,198.13

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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.