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Finding the Fourth Proportional to 215,812.66, 323,918.64 and 109,271.50

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Solution

The fourth proportional to 215,812.66, 323,918.64 and 109,271.50 is: 164,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,812.66 : 323,918.64 = 109,271.50 : x
  2. Step 2: Convert to fraction form
    215,812.66/323,918.64 = 109,271.50/x
  3. Step 3: Cross multiply
    215,812.66x = 323,918.64 × 109,271.50
  4. Step 4: Simplify right side
    215,812.66x = 35,395,075,670.76
  5. Step 5: Solve for x
    x = 35,395,075,670.76/215,812.66
  6. Step 6: Final answer
    x = 164,008.34

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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.