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Finding the Fourth Proportional to 216,074.84, 298,199.80 and 119,297.36

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Solution

The fourth proportional to 216,074.84, 298,199.80 and 119,297.36 is: 164,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,074.84 : 298,199.80 = 119,297.36 : x
  2. Step 2: Convert to fraction form
    216,074.84/298,199.80 = 119,297.36/x
  3. Step 3: Cross multiply
    216,074.84x = 298,199.80 × 119,297.36
  4. Step 4: Simplify right side
    216,074.84x = 35,574,448,445.30
  5. Step 5: Solve for x
    x = 35,574,448,445.30/216,074.84
  6. Step 6: Final answer
    x = 164,639.48

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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.