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Finding the Fourth Proportional to 159,802.45, 239,695.38 and 47,483.60

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Solution

The fourth proportional to 159,802.45, 239,695.38 and 47,483.60 is: 71,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,802.45 : 239,695.38 = 47,483.60 : x
  2. Step 2: Convert to fraction form
    159,802.45/239,695.38 = 47,483.60/x
  3. Step 3: Cross multiply
    159,802.45x = 239,695.38 × 47,483.60
  4. Step 4: Simplify right side
    159,802.45x = 11,381,598,347.29
  5. Step 5: Solve for x
    x = 11,381,598,347.29/159,802.45
  6. Step 6: Final answer
    x = 71,222.93

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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.