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Finding the Fourth Proportional to 145,825.50, 201,239.19 and 78,757.50

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Solution

The fourth proportional to 145,825.50, 201,239.19 and 78,757.50 is: 108,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,825.50 : 201,239.19 = 78,757.50 : x
  2. Step 2: Convert to fraction form
    145,825.50/201,239.19 = 78,757.50/x
  3. Step 3: Cross multiply
    145,825.50x = 201,239.19 × 78,757.50
  4. Step 4: Simplify right side
    145,825.50x = 15,849,095,506.43
  5. Step 5: Solve for x
    x = 15,849,095,506.43/145,825.50
  6. Step 6: Final answer
    x = 108,685.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.