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Finding the Fourth Proportional to 102,199.73, 153,293.31 and 48,929.67

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Solution

The fourth proportional to 102,199.73, 153,293.31 and 48,929.67 is: 73,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,199.73 : 153,293.31 = 48,929.67 : x
  2. Step 2: Convert to fraction form
    102,199.73/153,293.31 = 48,929.67/x
  3. Step 3: Cross multiply
    102,199.73x = 153,293.31 × 48,929.67
  4. Step 4: Simplify right side
    102,199.73x = 7,500,591,071.51
  5. Step 5: Solve for x
    x = 7,500,591,071.51/102,199.73
  6. Step 6: Final answer
    x = 73,391.50

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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.