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Finding the Fourth Proportional to 200,978.40, 277,350.95 and 110,343.66

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Solution

The fourth proportional to 200,978.40, 277,350.95 and 110,343.66 is: 152,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,978.40 : 277,350.95 = 110,343.66 : x
  2. Step 2: Convert to fraction form
    200,978.40/277,350.95 = 110,343.66/x
  3. Step 3: Cross multiply
    200,978.40x = 277,350.95 × 110,343.66
  4. Step 4: Simplify right side
    200,978.40x = 30,603,918,927.48
  5. Step 5: Solve for x
    x = 30,603,918,927.48/200,978.40
  6. Step 6: Final answer
    x = 152,274.67

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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.