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Finding the Fourth Proportional to 301,922.86, 452,883.99 and 77,282.93

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Solution

The fourth proportional to 301,922.86, 452,883.99 and 77,282.93 is: 115,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,922.86 : 452,883.99 = 77,282.93 : x
  2. Step 2: Convert to fraction form
    301,922.86/452,883.99 = 77,282.93/x
  3. Step 3: Cross multiply
    301,922.86x = 452,883.99 × 77,282.93
  4. Step 4: Simplify right side
    301,922.86x = 35,000,201,697.29
  5. Step 5: Solve for x
    x = 35,000,201,697.29/301,922.86
  6. Step 6: Final answer
    x = 115,924.32

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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.