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Finding the Fourth Proportional to 151,851, 227,776.56 and 41,043

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Solution

The fourth proportional to 151,851, 227,776.56 and 41,043 is: 61,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,851 : 227,776.56 = 41,043 : x
  2. Step 2: Convert to fraction form
    151,851/227,776.56 = 41,043/x
  3. Step 3: Cross multiply
    151,851x = 227,776.56 × 41,043
  4. Step 4: Simplify right side
    151,851x = 9,348,633,352.08
  5. Step 5: Solve for x
    x = 9,348,633,352.08/151,851
  6. Step 6: Final answer
    x = 61,564.52

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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.