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Finding the Fourth Proportional to 271,775.10, 407,823.06 and 103,437.18

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Solution

The fourth proportional to 271,775.10, 407,823.06 and 103,437.18 is: 155,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,775.10 : 407,823.06 = 103,437.18 : x
  2. Step 2: Convert to fraction form
    271,775.10/407,823.06 = 103,437.18/x
  3. Step 3: Cross multiply
    271,775.10x = 407,823.06 × 103,437.18
  4. Step 4: Simplify right side
    271,775.10x = 42,184,067,265.37
  5. Step 5: Solve for x
    x = 42,184,067,265.37/271,775.10
  6. Step 6: Final answer
    x = 155,216.82

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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.