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Finding the Fourth Proportional to 301,094.51, 451,641.96 and 76,471.79

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Solution

The fourth proportional to 301,094.51, 451,641.96 and 76,471.79 is: 114,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,094.51 : 451,641.96 = 76,471.79 : x
  2. Step 2: Convert to fraction form
    301,094.51/451,641.96 = 76,471.79/x
  3. Step 3: Cross multiply
    301,094.51x = 451,641.96 × 76,471.79
  4. Step 4: Simplify right side
    301,094.51x = 34,537,866,862.10
  5. Step 5: Solve for x
    x = 34,537,866,862.10/301,094.51
  6. Step 6: Final answer
    x = 114,707.73

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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.