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Finding the Fourth Proportional to 137,800.53, 206,681.96 and 37,946.36

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Solution

The fourth proportional to 137,800.53, 206,681.96 and 37,946.36 is: 56,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,800.53 : 206,681.96 = 37,946.36 : x
  2. Step 2: Convert to fraction form
    137,800.53/206,681.96 = 37,946.36/x
  3. Step 3: Cross multiply
    137,800.53x = 206,681.96 × 37,946.36
  4. Step 4: Simplify right side
    137,800.53x = 7,842,828,059.67
  5. Step 5: Solve for x
    x = 7,842,828,059.67/137,800.53
  6. Step 6: Final answer
    x = 56,914.35

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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.