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Finding the Fourth Proportional to 272,527, 408,813.54 and 75,535

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Solution

The fourth proportional to 272,527, 408,813.54 and 75,535 is: 113,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,527 : 408,813.54 = 75,535 : x
  2. Step 2: Convert to fraction form
    272,527/408,813.54 = 75,535/x
  3. Step 3: Cross multiply
    272,527x = 408,813.54 × 75,535
  4. Step 4: Simplify right side
    272,527x = 30,879,730,743.90
  5. Step 5: Solve for x
    x = 30,879,730,743.90/272,527
  6. Step 6: Final answer
    x = 113,308.89

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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.