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Finding the Fourth Proportional to 268,006.29, 369,849.39 and 147,155.40

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Solution

The fourth proportional to 268,006.29, 369,849.39 and 147,155.40 is: 203,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,006.29 : 369,849.39 = 147,155.40 : x
  2. Step 2: Convert to fraction form
    268,006.29/369,849.39 = 147,155.40/x
  3. Step 3: Cross multiply
    268,006.29x = 369,849.39 × 147,155.40
  4. Step 4: Simplify right side
    268,006.29x = 54,425,334,925.21
  5. Step 5: Solve for x
    x = 54,425,334,925.21/268,006.29
  6. Step 6: Final answer
    x = 203,074.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.