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Finding the Fourth Proportional to 317,767.16, 475,924.80 and 151,671.80

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Solution

The fourth proportional to 317,767.16, 475,924.80 and 151,671.80 is: 227,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,767.16 : 475,924.80 = 151,671.80 : x
  2. Step 2: Convert to fraction form
    317,767.16/475,924.80 = 151,671.80/x
  3. Step 3: Cross multiply
    317,767.16x = 475,924.80 × 151,671.80
  4. Step 4: Simplify right side
    317,767.16x = 72,184,371,080.64
  5. Step 5: Solve for x
    x = 72,184,371,080.64/317,767.16
  6. Step 6: Final answer
    x = 227,161.21

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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.