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Finding the Fourth Proportional to 210,102.65, 289,943.76 and 114,611.36

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Solution

The fourth proportional to 210,102.65, 289,943.76 and 114,611.36 is: 158,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,102.65 : 289,943.76 = 114,611.36 : x
  2. Step 2: Convert to fraction form
    210,102.65/289,943.76 = 114,611.36/x
  3. Step 3: Cross multiply
    210,102.65x = 289,943.76 × 114,611.36
  4. Step 4: Simplify right side
    210,102.65x = 33,230,848,657.11
  5. Step 5: Solve for x
    x = 33,230,848,657.11/210,102.65
  6. Step 6: Final answer
    x = 158,164.82

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