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Finding the Fourth Proportional to 210,097.38, 289,933.34 and 114,603.24

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Solution

The fourth proportional to 210,097.38, 289,933.34 and 114,603.24 is: 158,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,097.38 : 289,933.34 = 114,603.24 : x
  2. Step 2: Convert to fraction form
    210,097.38/289,933.34 = 114,603.24/x
  3. Step 3: Cross multiply
    210,097.38x = 289,933.34 × 114,603.24
  4. Step 4: Simplify right side
    210,097.38x = 33,227,300,148.02
  5. Step 5: Solve for x
    x = 33,227,300,148.02/210,097.38
  6. Step 6: Final answer
    x = 158,151.90

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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.