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Finding the Fourth Proportional to 216,074.64, 298,202.84 and 119,295.79

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Solution

The fourth proportional to 216,074.64, 298,202.84 and 119,295.79 is: 164,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,074.64 : 298,202.84 = 119,295.79 : x
  2. Step 2: Convert to fraction form
    216,074.64/298,202.84 = 119,295.79/x
  3. Step 3: Cross multiply
    216,074.64x = 298,202.84 × 119,295.79
  4. Step 4: Simplify right side
    216,074.64x = 35,574,342,818.94
  5. Step 5: Solve for x
    x = 35,574,342,818.94/216,074.64
  6. Step 6: Final answer
    x = 164,639.14

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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.