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Finding the Fourth Proportional to 309,372.96, 464,050.96 and 99,007.92

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Solution

The fourth proportional to 309,372.96, 464,050.96 and 99,007.92 is: 148,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,372.96 : 464,050.96 = 99,007.92 : x
  2. Step 2: Convert to fraction form
    309,372.96/464,050.96 = 99,007.92/x
  3. Step 3: Cross multiply
    309,372.96x = 464,050.96 × 99,007.92
  4. Step 4: Simplify right side
    309,372.96x = 45,944,720,323.60
  5. Step 5: Solve for x
    x = 45,944,720,323.60/309,372.96
  6. Step 6: Final answer
    x = 148,509.17

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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.