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Finding the Fourth Proportional to 282,663.40, 390,074.18 and 161,804

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Solution

The fourth proportional to 282,663.40, 390,074.18 and 161,804 is: 223,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,663.40 : 390,074.18 = 161,804 : x
  2. Step 2: Convert to fraction form
    282,663.40/390,074.18 = 161,804/x
  3. Step 3: Cross multiply
    282,663.40x = 390,074.18 × 161,804
  4. Step 4: Simplify right side
    282,663.40x = 63,115,562,620.72
  5. Step 5: Solve for x
    x = 63,115,562,620.72/282,663.40
  6. Step 6: Final answer
    x = 223,288.77

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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.