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Finding the Fourth Proportional to 233,026.49, 348,787.94 and 120,551.82

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Solution

The fourth proportional to 233,026.49, 348,787.94 and 120,551.82 is: 180,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,026.49 : 348,787.94 = 120,551.82 : x
  2. Step 2: Convert to fraction form
    233,026.49/348,787.94 = 120,551.82/x
  3. Step 3: Cross multiply
    233,026.49x = 348,787.94 × 120,551.82
  4. Step 4: Simplify right side
    233,026.49x = 42,047,020,358.29
  5. Step 5: Solve for x
    x = 42,047,020,358.29/233,026.49
  6. Step 6: Final answer
    x = 180,438.80

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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.