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Finding the Fourth Proportional to 282,492.83, 389,743.57 and 161,590.07

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Solution

The fourth proportional to 282,492.83, 389,743.57 and 161,590.07 is: 222,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,492.83 : 389,743.57 = 161,590.07 : x
  2. Step 2: Convert to fraction form
    282,492.83/389,743.57 = 161,590.07/x
  3. Step 3: Cross multiply
    282,492.83x = 389,743.57 × 161,590.07
  4. Step 4: Simplify right side
    282,492.83x = 62,978,690,758.35
  5. Step 5: Solve for x
    x = 62,978,690,758.35/282,492.83
  6. Step 6: Final answer
    x = 222,939.08

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Why These Related Problems?

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