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Finding the Fourth Proportional to 523,179, 784,775.88 and 149,202

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Solution

The fourth proportional to 523,179, 784,775.88 and 149,202 is: 223,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,179 : 784,775.88 = 149,202 : x
  2. Step 2: Convert to fraction form
    523,179/784,775.88 = 149,202/x
  3. Step 3: Cross multiply
    523,179x = 784,775.88 × 149,202
  4. Step 4: Simplify right side
    523,179x = 117,090,130,847.76
  5. Step 5: Solve for x
    x = 117,090,130,847.76/523,179
  6. Step 6: Final answer
    x = 223,805.10

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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.