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Finding the Fourth Proportional to 201,056.72, 301,496.52 and 94,471

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Solution

The fourth proportional to 201,056.72, 301,496.52 and 94,471 is: 141,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,056.72 : 301,496.52 = 94,471 : x
  2. Step 2: Convert to fraction form
    201,056.72/301,496.52 = 94,471/x
  3. Step 3: Cross multiply
    201,056.72x = 301,496.52 × 94,471
  4. Step 4: Simplify right side
    201,056.72x = 28,482,677,740.92
  5. Step 5: Solve for x
    x = 28,482,677,740.92/201,056.72
  6. Step 6: Final answer
    x = 141,664.89

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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.