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Finding the Fourth Proportional to 291,239, 401,919.54 and 178,039.88

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Solution

The fourth proportional to 291,239, 401,919.54 and 178,039.88 is: 245,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,239 : 401,919.54 = 178,039.88 : x
  2. Step 2: Convert to fraction form
    291,239/401,919.54 = 178,039.88/x
  3. Step 3: Cross multiply
    291,239x = 401,919.54 × 178,039.88
  4. Step 4: Simplify right side
    291,239x = 71,557,706,671.26
  5. Step 5: Solve for x
    x = 71,557,706,671.26/291,239
  6. Step 6: Final answer
    x = 245,700.98

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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.