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Finding the Fourth Proportional to 222,970.23, 334,506.42 and 96,631.65

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Solution

The fourth proportional to 222,970.23, 334,506.42 and 96,631.65 is: 144,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,970.23 : 334,506.42 = 96,631.65 : x
  2. Step 2: Convert to fraction form
    222,970.23/334,506.42 = 96,631.65/x
  3. Step 3: Cross multiply
    222,970.23x = 334,506.42 × 96,631.65
  4. Step 4: Simplify right side
    222,970.23x = 32,323,907,300.19
  5. Step 5: Solve for x
    x = 32,323,907,300.19/222,970.23
  6. Step 6: Final answer
    x = 144,969.61

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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.