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Finding the Fourth Proportional to 140,648.53, 210,935.31 and 39,441.01

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Solution

The fourth proportional to 140,648.53, 210,935.31 and 39,441.01 is: 59,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,648.53 : 210,935.31 = 39,441.01 : x
  2. Step 2: Convert to fraction form
    140,648.53/210,935.31 = 39,441.01/x
  3. Step 3: Cross multiply
    140,648.53x = 210,935.31 × 39,441.01
  4. Step 4: Simplify right side
    140,648.53x = 8,319,501,671.06
  5. Step 5: Solve for x
    x = 8,319,501,671.06/140,648.53
  6. Step 6: Final answer
    x = 59,151.00

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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.