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Finding the Fourth Proportional to 523,173, 784,766.88 and 149,196

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Solution

The fourth proportional to 523,173, 784,766.88 and 149,196 is: 223,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,173 : 784,766.88 = 149,196 : x
  2. Step 2: Convert to fraction form
    523,173/784,766.88 = 149,196/x
  3. Step 3: Cross multiply
    523,173x = 784,766.88 × 149,196
  4. Step 4: Simplify right side
    523,173x = 117,084,079,428.48
  5. Step 5: Solve for x
    x = 117,084,079,428.48/523,173
  6. Step 6: Final answer
    x = 223,796.10

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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.