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Finding the Fourth Proportional to 262,535, 393,823.20 and 129,342.59

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Solution

The fourth proportional to 262,535, 393,823.20 and 129,342.59 is: 194,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,535 : 393,823.20 = 129,342.59 : x
  2. Step 2: Convert to fraction form
    262,535/393,823.20 = 129,342.59/x
  3. Step 3: Cross multiply
    262,535x = 393,823.20 × 129,342.59
  4. Step 4: Simplify right side
    262,535x = 50,938,112,690.09
  5. Step 5: Solve for x
    x = 50,938,112,690.09/262,535
  6. Step 6: Final answer
    x = 194,024.08

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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.