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Finding the Fourth Proportional to 291,237, 401,916.78 and 178,037.88

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Solution

The fourth proportional to 291,237, 401,916.78 and 178,037.88 is: 245,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,237 : 401,916.78 = 178,037.88 : x
  2. Step 2: Convert to fraction form
    291,237/401,916.78 = 178,037.88/x
  3. Step 3: Cross multiply
    291,237x = 401,916.78 × 178,037.88
  4. Step 4: Simplify right side
    291,237x = 71,556,411,447.63
  5. Step 5: Solve for x
    x = 71,556,411,447.63/291,237
  6. Step 6: Final answer
    x = 245,698.22

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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.