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Finding the Fourth Proportional to 161,409.40, 242,041.20 and 72,617.20

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Solution

The fourth proportional to 161,409.40, 242,041.20 and 72,617.20 is: 108,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,409.40 : 242,041.20 = 72,617.20 : x
  2. Step 2: Convert to fraction form
    161,409.40/242,041.20 = 72,617.20/x
  3. Step 3: Cross multiply
    161,409.40x = 242,041.20 × 72,617.20
  4. Step 4: Simplify right side
    161,409.40x = 17,576,354,228.64
  5. Step 5: Solve for x
    x = 17,576,354,228.64/161,409.40
  6. Step 6: Final answer
    x = 108,893.00

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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.