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Finding the Fourth Proportional to 176,286.30, 264,429.45 and 141,294.30

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Solution

The fourth proportional to 176,286.30, 264,429.45 and 141,294.30 is: 211,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,286.30 : 264,429.45 = 141,294.30 : x
  2. Step 2: Convert to fraction form
    176,286.30/264,429.45 = 141,294.30/x
  3. Step 3: Cross multiply
    176,286.30x = 264,429.45 × 141,294.30
  4. Step 4: Simplify right side
    176,286.30x = 37,362,374,037.14
  5. Step 5: Solve for x
    x = 37,362,374,037.14/176,286.30
  6. Step 6: Final answer
    x = 211,941.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.