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Finding the Fourth Proportional to 219,370.70, 329,014.42 and 106,937.84

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Solution

The fourth proportional to 219,370.70, 329,014.42 and 106,937.84 is: 160,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,370.70 : 329,014.42 = 106,937.84 : x
  2. Step 2: Convert to fraction form
    219,370.70/329,014.42 = 106,937.84/x
  3. Step 3: Cross multiply
    219,370.70x = 329,014.42 × 106,937.84
  4. Step 4: Simplify right side
    219,370.70x = 35,184,091,403.65
  5. Step 5: Solve for x
    x = 35,184,091,403.65/219,370.70
  6. Step 6: Final answer
    x = 160,386.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.