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Finding the Fourth Proportional to 262,212, 361,883.60 and 149,051.76

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Solution

The fourth proportional to 262,212, 361,883.60 and 149,051.76 is: 205,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,212 : 361,883.60 = 149,051.76 : x
  2. Step 2: Convert to fraction form
    262,212/361,883.60 = 149,051.76/x
  3. Step 3: Cross multiply
    262,212x = 361,883.60 × 149,051.76
  4. Step 4: Simplify right side
    262,212x = 53,939,387,495.14
  5. Step 5: Solve for x
    x = 53,939,387,495.14/262,212
  6. Step 6: Final answer
    x = 205,709.07

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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.