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Finding the Fourth Proportional to 160,990.86, 241,527.05 and 113,698.34

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Solution

The fourth proportional to 160,990.86, 241,527.05 and 113,698.34 is: 170,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,990.86 : 241,527.05 = 113,698.34 : x
  2. Step 2: Convert to fraction form
    160,990.86/241,527.05 = 113,698.34/x
  3. Step 3: Cross multiply
    160,990.86x = 241,527.05 × 113,698.34
  4. Step 4: Simplify right side
    160,990.86x = 27,461,223,726.71
  5. Step 5: Solve for x
    x = 27,461,223,726.71/160,990.86
  6. Step 6: Final answer
    x = 170,576.29

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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.