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Finding the Fourth Proportional to 137,308.50, 205,956.57 and 37,468.35

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Solution

The fourth proportional to 137,308.50, 205,956.57 and 37,468.35 is: 56,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,308.50 : 205,956.57 = 37,468.35 : x
  2. Step 2: Convert to fraction form
    137,308.50/205,956.57 = 37,468.35/x
  3. Step 3: Cross multiply
    137,308.50x = 205,956.57 × 37,468.35
  4. Step 4: Simplify right side
    137,308.50x = 7,716,852,849.56
  5. Step 5: Solve for x
    x = 7,716,852,849.56/137,308.50
  6. Step 6: Final answer
    x = 56,200.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.