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Finding the Fourth Proportional to 160,971.80, 241,457.70 and 72,228.20

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Solution

The fourth proportional to 160,971.80, 241,457.70 and 72,228.20 is: 108,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,971.80 : 241,457.70 = 72,228.20 : x
  2. Step 2: Convert to fraction form
    160,971.80/241,457.70 = 72,228.20/x
  3. Step 3: Cross multiply
    160,971.80x = 241,457.70 × 72,228.20
  4. Step 4: Simplify right side
    160,971.80x = 17,440,055,047.14
  5. Step 5: Solve for x
    x = 17,440,055,047.14/160,971.80
  6. Step 6: Final answer
    x = 108,342.30

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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.