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Finding the Fourth Proportional to 145,811.76, 201,220.22 and 78,743.76

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Solution

The fourth proportional to 145,811.76, 201,220.22 and 78,743.76 is: 108,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,811.76 : 201,220.22 = 78,743.76 : x
  2. Step 2: Convert to fraction form
    145,811.76/201,220.22 = 78,743.76/x
  3. Step 3: Cross multiply
    145,811.76x = 201,220.22 × 78,743.76
  4. Step 4: Simplify right side
    145,811.76x = 15,844,836,710.83
  5. Step 5: Solve for x
    x = 15,844,836,710.83/145,811.76
  6. Step 6: Final answer
    x = 108,666.38

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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.