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Finding the Fourth Proportional to 216,011.71, 298,096.32 and 120,518.47

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Solution

The fourth proportional to 216,011.71, 298,096.32 and 120,518.47 is: 166,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,011.71 : 298,096.32 = 120,518.47 : x
  2. Step 2: Convert to fraction form
    216,011.71/298,096.32 = 120,518.47/x
  3. Step 3: Cross multiply
    216,011.71x = 298,096.32 × 120,518.47
  4. Step 4: Simplify right side
    216,011.71x = 35,926,112,399.03
  5. Step 5: Solve for x
    x = 35,926,112,399.03/216,011.71
  6. Step 6: Final answer
    x = 166,315.58

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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.