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Finding the Fourth Proportional to 199,514.62, 299,322.06 and 57,360.16

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Solution

The fourth proportional to 199,514.62, 299,322.06 and 57,360.16 is: 86,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,514.62 : 299,322.06 = 57,360.16 : x
  2. Step 2: Convert to fraction form
    199,514.62/299,322.06 = 57,360.16/x
  3. Step 3: Cross multiply
    199,514.62x = 299,322.06 × 57,360.16
  4. Step 4: Simplify right side
    199,514.62x = 17,169,159,469.72
  5. Step 5: Solve for x
    x = 17,169,159,469.72/199,514.62
  6. Step 6: Final answer
    x = 86,054.65

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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.