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Finding the Fourth Proportional to 317,738.16, 475,881.48 and 151,642.80

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Solution

The fourth proportional to 317,738.16, 475,881.48 and 151,642.80 is: 227,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,738.16 : 475,881.48 = 151,642.80 : x
  2. Step 2: Convert to fraction form
    317,738.16/475,881.48 = 151,642.80/x
  3. Step 3: Cross multiply
    317,738.16x = 475,881.48 × 151,642.80
  4. Step 4: Simplify right side
    317,738.16x = 72,164,000,095.34
  5. Step 5: Solve for x
    x = 72,164,000,095.34/317,738.16
  6. Step 6: Final answer
    x = 227,117.83

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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.