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Finding the Fourth Proportional to 295,710.76, 443,741.82 and 108,853.48

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Solution

The fourth proportional to 295,710.76, 443,741.82 and 108,853.48 is: 163,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,710.76 : 443,741.82 = 108,853.48 : x
  2. Step 2: Convert to fraction form
    295,710.76/443,741.82 = 108,853.48/x
  3. Step 3: Cross multiply
    295,710.76x = 443,741.82 × 108,853.48
  4. Step 4: Simplify right side
    295,710.76x = 48,302,841,328.53
  5. Step 5: Solve for x
    x = 48,302,841,328.53/295,710.76
  6. Step 6: Final answer
    x = 163,344.89

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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.