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Finding the Fourth Proportional to 262,972.33, 362,901.93 and 142,113.58

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Solution

The fourth proportional to 262,972.33, 362,901.93 and 142,113.58 is: 196,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,972.33 : 362,901.93 = 142,113.58 : x
  2. Step 2: Convert to fraction form
    262,972.33/362,901.93 = 142,113.58/x
  3. Step 3: Cross multiply
    262,972.33x = 362,901.93 × 142,113.58
  4. Step 4: Simplify right side
    262,972.33x = 51,573,292,461.21
  5. Step 5: Solve for x
    x = 51,573,292,461.21/262,972.33
  6. Step 6: Final answer
    x = 196,116.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.