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Finding the Fourth Proportional to 230,807, 318,514.62 and 124,823

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Solution

The fourth proportional to 230,807, 318,514.62 and 124,823 is: 172,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,807 : 318,514.62 = 124,823 : x
  2. Step 2: Convert to fraction form
    230,807/318,514.62 = 124,823/x
  3. Step 3: Cross multiply
    230,807x = 318,514.62 × 124,823
  4. Step 4: Simplify right side
    230,807x = 39,757,950,412.26
  5. Step 5: Solve for x
    x = 39,757,950,412.26/230,807
  6. Step 6: Final answer
    x = 172,256.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.