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Finding the Fourth Proportional to 302,546, 454,026.36 and 105,554

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Solution

The fourth proportional to 302,546, 454,026.36 and 105,554 is: 158,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,546 : 454,026.36 = 105,554 : x
  2. Step 2: Convert to fraction form
    302,546/454,026.36 = 105,554/x
  3. Step 3: Cross multiply
    302,546x = 454,026.36 × 105,554
  4. Step 4: Simplify right side
    302,546x = 47,924,298,403.44
  5. Step 5: Solve for x
    x = 47,924,298,403.44/302,546
  6. Step 6: Final answer
    x = 158,403.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.