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Finding the Fourth Proportional to 160,414.94, 240,539.43 and 70,420.82

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Solution

The fourth proportional to 160,414.94, 240,539.43 and 70,420.82 is: 105,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,414.94 : 240,539.43 = 70,420.82 : x
  2. Step 2: Convert to fraction form
    160,414.94/240,539.43 = 70,420.82/x
  3. Step 3: Cross multiply
    160,414.94x = 240,539.43 × 70,420.82
  4. Step 4: Simplify right side
    160,414.94x = 16,938,983,902.93
  5. Step 5: Solve for x
    x = 16,938,983,902.93/160,414.94
  6. Step 6: Final answer
    x = 105,594.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.