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Finding the Fourth Proportional to 137,509.29, 206,264.10 and 37,670.36

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Solution

The fourth proportional to 137,509.29, 206,264.10 and 37,670.36 is: 56,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.29 : 206,264.10 = 37,670.36 : x
  2. Step 2: Convert to fraction form
    137,509.29/206,264.10 = 37,670.36/x
  3. Step 3: Cross multiply
    137,509.29x = 206,264.10 × 37,670.36
  4. Step 4: Simplify right side
    137,509.29x = 7,770,041,870.76
  5. Step 5: Solve for x
    x = 7,770,041,870.76/137,509.29
  6. Step 6: Final answer
    x = 56,505.58

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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.