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Finding the Fourth Proportional to 160,411.60, 240,358.20 and 101,141.20

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Solution

The fourth proportional to 160,411.60, 240,358.20 and 101,141.20 is: 151,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,411.60 : 240,358.20 = 101,141.20 : x
  2. Step 2: Convert to fraction form
    160,411.60/240,358.20 = 101,141.20/x
  3. Step 3: Cross multiply
    160,411.60x = 240,358.20 × 101,141.20
  4. Step 4: Simplify right side
    160,411.60x = 24,310,116,777.84
  5. Step 5: Solve for x
    x = 24,310,116,777.84/160,411.60
  6. Step 6: Final answer
    x = 151,548.37

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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.