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Finding the Fourth Proportional to 159,102.51, 238,620.19 and 46,752.21

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Solution

The fourth proportional to 159,102.51, 238,620.19 and 46,752.21 is: 70,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,102.51 : 238,620.19 = 46,752.21 : x
  2. Step 2: Convert to fraction form
    159,102.51/238,620.19 = 46,752.21/x
  3. Step 3: Cross multiply
    159,102.51x = 238,620.19 × 46,752.21
  4. Step 4: Simplify right side
    159,102.51x = 11,156,021,233.12
  5. Step 5: Solve for x
    x = 11,156,021,233.12/159,102.51
  6. Step 6: Final answer
    x = 70,118.45

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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.