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Finding the Fourth Proportional to 463,922.02, 695,542.83 and 148,196.98

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Solution

The fourth proportional to 463,922.02, 695,542.83 and 148,196.98 is: 222,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,922.02 : 695,542.83 = 148,196.98 : x
  2. Step 2: Convert to fraction form
    463,922.02/695,542.83 = 148,196.98/x
  3. Step 3: Cross multiply
    463,922.02x = 695,542.83 × 148,196.98
  4. Step 4: Simplify right side
    463,922.02x = 103,077,346,866.65
  5. Step 5: Solve for x
    x = 103,077,346,866.65/463,922.02
  6. Step 6: Final answer
    x = 222,186.80

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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.