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Finding the Fourth Proportional to 242,563.02, 363,401.18 and 175,837.64

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Solution

The fourth proportional to 242,563.02, 363,401.18 and 175,837.64 is: 263,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,563.02 : 363,401.18 = 175,837.64 : x
  2. Step 2: Convert to fraction form
    242,563.02/363,401.18 = 175,837.64/x
  3. Step 3: Cross multiply
    242,563.02x = 363,401.18 × 175,837.64
  4. Step 4: Simplify right side
    242,563.02x = 63,899,605,864.42
  5. Step 5: Solve for x
    x = 63,899,605,864.42/242,563.02
  6. Step 6: Final answer
    x = 263,435.07

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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.