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Finding the Fourth Proportional to 105,358.08, 158,051.70 and 43,014

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Solution

The fourth proportional to 105,358.08, 158,051.70 and 43,014 is: 64,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,358.08 : 158,051.70 = 43,014 : x
  2. Step 2: Convert to fraction form
    105,358.08/158,051.70 = 43,014/x
  3. Step 3: Cross multiply
    105,358.08x = 158,051.70 × 43,014
  4. Step 4: Simplify right side
    105,358.08x = 6,798,435,823.80
  5. Step 5: Solve for x
    x = 6,798,435,823.80/105,358.08
  6. Step 6: Final answer
    x = 64,526.95

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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.