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Finding the Fourth Proportional to 146,411.34, 202,069.31 and 92,701.35

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Solution

The fourth proportional to 146,411.34, 202,069.31 and 92,701.35 is: 127,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,411.34 : 202,069.31 = 92,701.35 : x
  2. Step 2: Convert to fraction form
    146,411.34/202,069.31 = 92,701.35/x
  3. Step 3: Cross multiply
    146,411.34x = 202,069.31 × 92,701.35
  4. Step 4: Simplify right side
    146,411.34x = 18,732,097,830.57
  5. Step 5: Solve for x
    x = 18,732,097,830.57/146,411.34
  6. Step 6: Final answer
    x = 127,941.58

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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.