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Finding the Fourth Proportional to 105,303.99, 157,970.84 and 34,203.86

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Solution

The fourth proportional to 105,303.99, 157,970.84 and 34,203.86 is: 51,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,303.99 : 157,970.84 = 34,203.86 : x
  2. Step 2: Convert to fraction form
    105,303.99/157,970.84 = 34,203.86/x
  3. Step 3: Cross multiply
    105,303.99x = 157,970.84 × 34,203.86
  4. Step 4: Simplify right side
    105,303.99x = 5,403,212,495.44
  5. Step 5: Solve for x
    x = 5,403,212,495.44/105,303.99
  6. Step 6: Final answer
    x = 51,310.62

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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.