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Finding the Fourth Proportional to 262,752.09, 362,577.24 and 148,024.50

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Solution

The fourth proportional to 262,752.09, 362,577.24 and 148,024.50 is: 204,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,752.09 : 362,577.24 = 148,024.50 : x
  2. Step 2: Convert to fraction form
    262,752.09/362,577.24 = 148,024.50/x
  3. Step 3: Cross multiply
    262,752.09x = 362,577.24 × 148,024.50
  4. Step 4: Simplify right side
    262,752.09x = 53,670,314,662.38
  5. Step 5: Solve for x
    x = 53,670,314,662.38/262,752.09
  6. Step 6: Final answer
    x = 204,262.18

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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.