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Finding the Fourth Proportional to 177,214.86, 265,603.41 and 152,078.22

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Solution

The fourth proportional to 177,214.86, 265,603.41 and 152,078.22 is: 227,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,214.86 : 265,603.41 = 152,078.22 : x
  2. Step 2: Convert to fraction form
    177,214.86/265,603.41 = 152,078.22/x
  3. Step 3: Cross multiply
    177,214.86x = 265,603.41 × 152,078.22
  4. Step 4: Simplify right side
    177,214.86x = 40,392,493,818.73
  5. Step 5: Solve for x
    x = 40,392,493,818.73/177,214.86
  6. Step 6: Final answer
    x = 227,929.50

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Why These Related Problems?

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