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Finding the Fourth Proportional to 210,099.13, 289,938.89 and 114,607.82

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Solution

The fourth proportional to 210,099.13, 289,938.89 and 114,607.82 is: 158,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,099.13 : 289,938.89 = 114,607.82 : x
  2. Step 2: Convert to fraction form
    210,099.13/289,938.89 = 114,607.82/x
  3. Step 3: Cross multiply
    210,099.13x = 289,938.89 × 114,607.82
  4. Step 4: Simplify right side
    210,099.13x = 33,229,265,127.49
  5. Step 5: Solve for x
    x = 33,229,265,127.49/210,099.13
  6. Step 6: Final answer
    x = 158,159.94

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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.