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Finding the Fourth Proportional to 295,147.44, 442,567.44 and 105,534.72

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Solution

The fourth proportional to 295,147.44, 442,567.44 and 105,534.72 is: 158,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,147.44 : 442,567.44 = 105,534.72 : x
  2. Step 2: Convert to fraction form
    295,147.44/442,567.44 = 105,534.72/x
  3. Step 3: Cross multiply
    295,147.44x = 442,567.44 × 105,534.72
  4. Step 4: Simplify right side
    295,147.44x = 46,706,230,861.52
  5. Step 5: Solve for x
    x = 46,706,230,861.52/295,147.44
  6. Step 6: Final answer
    x = 158,247.11

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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.