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Finding the Fourth Proportional to 242,716.80, 364,075.20 and 163,401.60

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Solution

The fourth proportional to 242,716.80, 364,075.20 and 163,401.60 is: 245,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,716.80 : 364,075.20 = 163,401.60 : x
  2. Step 2: Convert to fraction form
    242,716.80/364,075.20 = 163,401.60/x
  3. Step 3: Cross multiply
    242,716.80x = 364,075.20 × 163,401.60
  4. Step 4: Simplify right side
    242,716.80x = 59,490,470,200.32
  5. Step 5: Solve for x
    x = 59,490,470,200.32/242,716.80
  6. Step 6: Final answer
    x = 245,102.40

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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.