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Finding the Fourth Proportional to 105,447.80, 158,204.92 and 46,333.20

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Solution

The fourth proportional to 105,447.80, 158,204.92 and 46,333.20 is: 69,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,447.80 : 158,204.92 = 46,333.20 : x
  2. Step 2: Convert to fraction form
    105,447.80/158,204.92 = 46,333.20/x
  3. Step 3: Cross multiply
    105,447.80x = 158,204.92 × 46,333.20
  4. Step 4: Simplify right side
    105,447.80x = 7,330,140,199.34
  5. Step 5: Solve for x
    x = 7,330,140,199.34/105,447.80
  6. Step 6: Final answer
    x = 69,514.40

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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.