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Finding the Fourth Proportional to 537,133.58, 805,700.56 and 137,774.32

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Solution

The fourth proportional to 537,133.58, 805,700.56 and 137,774.32 is: 206,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,133.58 : 805,700.56 = 137,774.32 : x
  2. Step 2: Convert to fraction form
    537,133.58/805,700.56 = 137,774.32/x
  3. Step 3: Cross multiply
    537,133.58x = 805,700.56 × 137,774.32
  4. Step 4: Simplify right side
    537,133.58x = 111,004,846,777.62
  5. Step 5: Solve for x
    x = 111,004,846,777.62/537,133.58
  6. Step 6: Final answer
    x = 206,661.53

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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.