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Finding the Fourth Proportional to 288,576, 432,483.84 and 122,158.08

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Solution

The fourth proportional to 288,576, 432,483.84 and 122,158.08 is: 183,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,576 : 432,483.84 = 122,158.08 : x
  2. Step 2: Convert to fraction form
    288,576/432,483.84 = 122,158.08/x
  3. Step 3: Cross multiply
    288,576x = 432,483.84 × 122,158.08
  4. Step 4: Simplify right side
    288,576x = 52,831,395,525.43
  5. Step 5: Solve for x
    x = 52,831,395,525.43/288,576
  6. Step 6: Final answer
    x = 183,076.19

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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.