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Finding the Fourth Proportional to 464,183.77, 696,200.91 and 127,145.59

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Solution

The fourth proportional to 464,183.77, 696,200.91 and 127,145.59 is: 190,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,183.77 : 696,200.91 = 127,145.59 : x
  2. Step 2: Convert to fraction form
    464,183.77/696,200.91 = 127,145.59/x
  3. Step 3: Cross multiply
    464,183.77x = 696,200.91 × 127,145.59
  4. Step 4: Simplify right side
    464,183.77x = 88,518,875,460.49
  5. Step 5: Solve for x
    x = 88,518,875,460.49/464,183.77
  6. Step 6: Final answer
    x = 190,697.91

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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.