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Finding the Fourth Proportional to 272,031.86, 375,413.42 and 151,178.24

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Solution

The fourth proportional to 272,031.86, 375,413.42 and 151,178.24 is: 208,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,031.86 : 375,413.42 = 151,178.24 : x
  2. Step 2: Convert to fraction form
    272,031.86/375,413.42 = 151,178.24/x
  3. Step 3: Cross multiply
    272,031.86x = 375,413.42 × 151,178.24
  4. Step 4: Simplify right side
    272,031.86x = 56,754,340,107.98
  5. Step 5: Solve for x
    x = 56,754,340,107.98/272,031.86
  6. Step 6: Final answer
    x = 208,631.22

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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.