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Finding the Fourth Proportional to 189,802.50, 261,927.45 and 114,366.66

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Solution

The fourth proportional to 189,802.50, 261,927.45 and 114,366.66 is: 157,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,802.50 : 261,927.45 = 114,366.66 : x
  2. Step 2: Convert to fraction form
    189,802.50/261,927.45 = 114,366.66/x
  3. Step 3: Cross multiply
    189,802.50x = 261,927.45 × 114,366.66
  4. Step 4: Simplify right side
    189,802.50x = 29,955,767,618.82
  5. Step 5: Solve for x
    x = 29,955,767,618.82/189,802.50
  6. Step 6: Final answer
    x = 157,825.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.