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Finding the Fourth Proportional to 137,533.50, 206,036.72 and 93,083.58

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Solution

The fourth proportional to 137,533.50, 206,036.72 and 93,083.58 is: 139,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,533.50 : 206,036.72 = 93,083.58 : x
  2. Step 2: Convert to fraction form
    137,533.50/206,036.72 = 93,083.58/x
  3. Step 3: Cross multiply
    137,533.50x = 206,036.72 × 93,083.58
  4. Step 4: Simplify right side
    137,533.50x = 19,178,635,509.06
  5. Step 5: Solve for x
    x = 19,178,635,509.06/137,533.50
  6. Step 6: Final answer
    x = 139,447.01

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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.