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Finding the Fourth Proportional to 309,595.86, 464,415.84 and 107,108.01

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Solution

The fourth proportional to 309,595.86, 464,415.84 and 107,108.01 is: 160,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,595.86 : 464,415.84 = 107,108.01 : x
  2. Step 2: Convert to fraction form
    309,595.86/464,415.84 = 107,108.01/x
  3. Step 3: Cross multiply
    309,595.86x = 464,415.84 × 107,108.01
  4. Step 4: Simplify right side
    309,595.86x = 49,742,656,434.88
  5. Step 5: Solve for x
    x = 49,742,656,434.88/309,595.86
  6. Step 6: Final answer
    x = 160,669.64

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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.