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Finding the Fourth Proportional to 147,509.66, 221,055.20 and 113,647.58

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Solution

The fourth proportional to 147,509.66, 221,055.20 and 113,647.58 is: 170,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,509.66 : 221,055.20 = 113,647.58 : x
  2. Step 2: Convert to fraction form
    147,509.66/221,055.20 = 113,647.58/x
  3. Step 3: Cross multiply
    147,509.66x = 221,055.20 × 113,647.58
  4. Step 4: Simplify right side
    147,509.66x = 25,122,388,526.42
  5. Step 5: Solve for x
    x = 25,122,388,526.42/147,509.66
  6. Step 6: Final answer
    x = 170,310.12

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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.