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Finding the Fourth Proportional to 271,784.64, 375,050.16 and 150,933.60

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Solution

The fourth proportional to 271,784.64, 375,050.16 and 150,933.60 is: 208,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,784.64 : 375,050.16 = 150,933.60 : x
  2. Step 2: Convert to fraction form
    271,784.64/375,050.16 = 150,933.60/x
  3. Step 3: Cross multiply
    271,784.64x = 375,050.16 × 150,933.60
  4. Step 4: Simplify right side
    271,784.64x = 56,607,670,829.38
  5. Step 5: Solve for x
    x = 56,607,670,829.38/271,784.64
  6. Step 6: Final answer
    x = 208,281.35

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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.