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Finding the Fourth Proportional to 137,688.81, 206,535.51 and 37,848.39

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Solution

The fourth proportional to 137,688.81, 206,535.51 and 37,848.39 is: 56,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,688.81 : 206,535.51 = 37,848.39 : x
  2. Step 2: Convert to fraction form
    137,688.81/206,535.51 = 37,848.39/x
  3. Step 3: Cross multiply
    137,688.81x = 206,535.51 × 37,848.39
  4. Step 4: Simplify right side
    137,688.81x = 7,817,036,531.33
  5. Step 5: Solve for x
    x = 7,817,036,531.33/137,688.81
  6. Step 6: Final answer
    x = 56,773.22

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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.