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Finding the Fourth Proportional to 109,304.99, 163,957.48 and 42,698.41

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Solution

The fourth proportional to 109,304.99, 163,957.48 and 42,698.41 is: 64,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,304.99 : 163,957.48 = 42,698.41 : x
  2. Step 2: Convert to fraction form
    109,304.99/163,957.48 = 42,698.41/x
  3. Step 3: Cross multiply
    109,304.99x = 163,957.48 × 42,698.41
  4. Step 4: Simplify right side
    109,304.99x = 7,000,723,427.15
  5. Step 5: Solve for x
    x = 7,000,723,427.15/109,304.99
  6. Step 6: Final answer
    x = 64,047.61

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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.