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Finding the Fourth Proportional to 282,972, 390,556.82 and 162,194.24

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Solution

The fourth proportional to 282,972, 390,556.82 and 162,194.24 is: 223,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,972 : 390,556.82 = 162,194.24 : x
  2. Step 2: Convert to fraction form
    282,972/390,556.82 = 162,194.24/x
  3. Step 3: Cross multiply
    282,972x = 390,556.82 × 162,194.24
  4. Step 4: Simplify right side
    282,972x = 63,346,066,596.72
  5. Step 5: Solve for x
    x = 63,346,066,596.72/282,972
  6. Step 6: Final answer
    x = 223,859.84

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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.