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Finding the Fourth Proportional to 464,101.84, 696,153.36 and 127,145.45

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Solution

The fourth proportional to 464,101.84, 696,153.36 and 127,145.45 is: 190,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,101.84 : 696,153.36 = 127,145.45 : x
  2. Step 2: Convert to fraction form
    464,101.84/696,153.36 = 127,145.45/x
  3. Step 3: Cross multiply
    464,101.84x = 696,153.36 × 127,145.45
  4. Step 4: Simplify right side
    464,101.84x = 88,512,728,745.45
  5. Step 5: Solve for x
    x = 88,512,728,745.45/464,101.84
  6. Step 6: Final answer
    x = 190,718.33

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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.