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Finding the Fourth Proportional to 145,844.50, 201,265.41 and 78,776.50

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Solution

The fourth proportional to 145,844.50, 201,265.41 and 78,776.50 is: 108,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,844.50 : 201,265.41 = 78,776.50 : x
  2. Step 2: Convert to fraction form
    145,844.50/201,265.41 = 78,776.50/x
  3. Step 3: Cross multiply
    145,844.50x = 201,265.41 × 78,776.50
  4. Step 4: Simplify right side
    145,844.50x = 15,854,984,570.87
  5. Step 5: Solve for x
    x = 15,854,984,570.87/145,844.50
  6. Step 6: Final answer
    x = 108,711.57

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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.