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Finding the Fourth Proportional to 295,522.51, 443,081.30 and 105,978.83

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Solution

The fourth proportional to 295,522.51, 443,081.30 and 105,978.83 is: 158,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,522.51 : 443,081.30 = 105,978.83 : x
  2. Step 2: Convert to fraction form
    295,522.51/443,081.30 = 105,978.83/x
  3. Step 3: Cross multiply
    295,522.51x = 443,081.30 × 105,978.83
  4. Step 4: Simplify right side
    295,522.51x = 46,957,238,261.07
  5. Step 5: Solve for x
    x = 46,957,238,261.07/295,522.51
  6. Step 6: Final answer
    x = 158,895.64

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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.