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Finding the Fourth Proportional to 242,873.68, 335,109.90 and 146,033.32

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Solution

The fourth proportional to 242,873.68, 335,109.90 and 146,033.32 is: 201,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,873.68 : 335,109.90 = 146,033.32 : x
  2. Step 2: Convert to fraction form
    242,873.68/335,109.90 = 146,033.32/x
  3. Step 3: Cross multiply
    242,873.68x = 335,109.90 × 146,033.32
  4. Step 4: Simplify right side
    242,873.68x = 48,937,211,261.87
  5. Step 5: Solve for x
    x = 48,937,211,261.87/242,873.68
  6. Step 6: Final answer
    x = 201,492.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.