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Finding the Fourth Proportional to 213,362.50, 294,440.25 and 119,154.50

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Solution

The fourth proportional to 213,362.50, 294,440.25 and 119,154.50 is: 164,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,362.50 : 294,440.25 = 119,154.50 : x
  2. Step 2: Convert to fraction form
    213,362.50/294,440.25 = 119,154.50/x
  3. Step 3: Cross multiply
    213,362.50x = 294,440.25 × 119,154.50
  4. Step 4: Simplify right side
    213,362.50x = 35,083,880,768.63
  5. Step 5: Solve for x
    x = 35,083,880,768.63/213,362.50
  6. Step 6: Final answer
    x = 164,433.21

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1.5x scale

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.