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Finding the Fourth Proportional to 202,015.64, 278,783.51 and 111,374.93

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Solution

The fourth proportional to 202,015.64, 278,783.51 and 111,374.93 is: 153,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,015.64 : 278,783.51 = 111,374.93 : x
  2. Step 2: Convert to fraction form
    202,015.64/278,783.51 = 111,374.93/x
  3. Step 3: Cross multiply
    202,015.64x = 278,783.51 × 111,374.93
  4. Step 4: Simplify right side
    202,015.64x = 31,049,491,960.61
  5. Step 5: Solve for x
    x = 31,049,491,960.61/202,015.64
  6. Step 6: Final answer
    x = 153,698.46

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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.