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Finding the Fourth Proportional to 211,984.16, 317,976.24 and 93,776

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Solution

The fourth proportional to 211,984.16, 317,976.24 and 93,776 is: 140,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,984.16 : 317,976.24 = 93,776 : x
  2. Step 2: Convert to fraction form
    211,984.16/317,976.24 = 93,776/x
  3. Step 3: Cross multiply
    211,984.16x = 317,976.24 × 93,776
  4. Step 4: Simplify right side
    211,984.16x = 29,818,539,882.24
  5. Step 5: Solve for x
    x = 29,818,539,882.24/211,984.16
  6. Step 6: Final answer
    x = 140,664

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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.