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Finding the Fourth Proportional to 464,095.94, 696,144.42 and 127,139.49

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Solution

The fourth proportional to 464,095.94, 696,144.42 and 127,139.49 is: 190,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,095.94 : 696,144.42 = 127,139.49 : x
  2. Step 2: Convert to fraction form
    464,095.94/696,144.42 = 127,139.49/x
  3. Step 3: Cross multiply
    464,095.94x = 696,144.42 × 127,139.49
  4. Step 4: Simplify right side
    464,095.94x = 88,507,446,525.15
  5. Step 5: Solve for x
    x = 88,507,446,525.15/464,095.94
  6. Step 6: Final answer
    x = 190,709.38

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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.