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Finding the Fourth Proportional to 105,412.56, 158,113.12 and 26,526.64

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Solution

The fourth proportional to 105,412.56, 158,113.12 and 26,526.64 is: 39,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412.56 : 158,113.12 = 26,526.64 : x
  2. Step 2: Convert to fraction form
    105,412.56/158,113.12 = 26,526.64/x
  3. Step 3: Cross multiply
    105,412.56x = 158,113.12 × 26,526.64
  4. Step 4: Simplify right side
    105,412.56x = 4,194,209,813.52
  5. Step 5: Solve for x
    x = 4,194,209,813.52/105,412.56
  6. Step 6: Final answer
    x = 39,788.52

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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.