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Finding the Fourth Proportional to 523,125.94, 784,696.20 and 149,148.94

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Solution

The fourth proportional to 523,125.94, 784,696.20 and 149,148.94 is: 223,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,125.94 : 784,696.20 = 149,148.94 : x
  2. Step 2: Convert to fraction form
    523,125.94/784,696.20 = 149,148.94/x
  3. Step 3: Cross multiply
    523,125.94x = 784,696.20 × 149,148.94
  4. Step 4: Simplify right side
    523,125.94x = 117,036,604,490.29
  5. Step 5: Solve for x
    x = 117,036,604,490.29/523,125.94
  6. Step 6: Final answer
    x = 223,725.49

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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.