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Finding the Fourth Proportional to 210,096.42, 289,934.91 and 114,603.54

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Solution

The fourth proportional to 210,096.42, 289,934.91 and 114,603.54 is: 158,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,096.42 : 289,934.91 = 114,603.54 : x
  2. Step 2: Convert to fraction form
    210,096.42/289,934.91 = 114,603.54/x
  3. Step 3: Cross multiply
    210,096.42x = 289,934.91 × 114,603.54
  4. Step 4: Simplify right side
    210,096.42x = 33,227,567,055.58
  5. Step 5: Solve for x
    x = 33,227,567,055.58/210,096.42
  6. Step 6: Final answer
    x = 158,153.89

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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.