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Finding the Fourth Proportional to 213,362, 294,439.56 and 119,154

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Solution

The fourth proportional to 213,362, 294,439.56 and 119,154 is: 164,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,362 : 294,439.56 = 119,154 : x
  2. Step 2: Convert to fraction form
    213,362/294,439.56 = 119,154/x
  3. Step 3: Cross multiply
    213,362x = 294,439.56 × 119,154
  4. Step 4: Simplify right side
    213,362x = 35,083,651,332.24
  5. Step 5: Solve for x
    x = 35,083,651,332.24/213,362
  6. Step 6: Final answer
    x = 164,432.52

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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.