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Finding the Fourth Proportional to 159,336, 238,987.44 and 99,995.76

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Solution

The fourth proportional to 159,336, 238,987.44 and 99,995.76 is: 149,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,336 : 238,987.44 = 99,995.76 : x
  2. Step 2: Convert to fraction form
    159,336/238,987.44 = 99,995.76/x
  3. Step 3: Cross multiply
    159,336x = 238,987.44 × 99,995.76
  4. Step 4: Simplify right side
    159,336x = 23,897,730,693.25
  5. Step 5: Solve for x
    x = 23,897,730,693.25/159,336
  6. Step 6: Final answer
    x = 149,983.25

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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.