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Finding the Fourth Proportional to 137,248.33, 205,849.13 and 37,385.16

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Solution

The fourth proportional to 137,248.33, 205,849.13 and 37,385.16 is: 56,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,248.33 : 205,849.13 = 37,385.16 : x
  2. Step 2: Convert to fraction form
    137,248.33/205,849.13 = 37,385.16/x
  3. Step 3: Cross multiply
    137,248.33x = 205,849.13 × 37,385.16
  4. Step 4: Simplify right side
    137,248.33x = 7,695,702,754.37
  5. Step 5: Solve for x
    x = 7,695,702,754.37/137,248.33
  6. Step 6: Final answer
    x = 56,071.38

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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.