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Finding the Fourth Proportional to 153,408.50, 230,115.63 and 42,603.38

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Solution

The fourth proportional to 153,408.50, 230,115.63 and 42,603.38 is: 63,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408.50 : 230,115.63 = 42,603.38 : x
  2. Step 2: Convert to fraction form
    153,408.50/230,115.63 = 42,603.38/x
  3. Step 3: Cross multiply
    153,408.50x = 230,115.63 × 42,603.38
  4. Step 4: Simplify right side
    153,408.50x = 9,803,703,628.83
  5. Step 5: Solve for x
    x = 9,803,703,628.83/153,408.50
  6. Step 6: Final answer
    x = 63,905.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.