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Finding the Fourth Proportional to 524,173, 786,259.50 and 150,196

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Solution

The fourth proportional to 524,173, 786,259.50 and 150,196 is: 225,294

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,173 : 786,259.50 = 150,196 : x
  2. Step 2: Convert to fraction form
    524,173/786,259.50 = 150,196/x
  3. Step 3: Cross multiply
    524,173x = 786,259.50 × 150,196
  4. Step 4: Simplify right side
    524,173x = 118,093,031,862
  5. Step 5: Solve for x
    x = 118,093,031,862/524,173
  6. Step 6: Final answer
    x = 225,294

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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.