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Finding the Fourth Proportional to 357,530.50, 536,295.75 and 132,947.47

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Solution

The fourth proportional to 357,530.50, 536,295.75 and 132,947.47 is: 199,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,530.50 : 536,295.75 = 132,947.47 : x
  2. Step 2: Convert to fraction form
    357,530.50/536,295.75 = 132,947.47/x
  3. Step 3: Cross multiply
    357,530.50x = 536,295.75 × 132,947.47
  4. Step 4: Simplify right side
    357,530.50x = 71,299,163,134.25
  5. Step 5: Solve for x
    x = 71,299,163,134.25/357,530.50
  6. Step 6: Final answer
    x = 199,421.21

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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.