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Finding the Fourth Proportional to 333,118.08, 499,677.36 and 83,800

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Solution

The fourth proportional to 333,118.08, 499,677.36 and 83,800 is: 125,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,118.08 : 499,677.36 = 83,800 : x
  2. Step 2: Convert to fraction form
    333,118.08/499,677.36 = 83,800/x
  3. Step 3: Cross multiply
    333,118.08x = 499,677.36 × 83,800
  4. Step 4: Simplify right side
    333,118.08x = 41,872,962,768
  5. Step 5: Solve for x
    x = 41,872,962,768/333,118.08
  6. Step 6: Final answer
    x = 125,700.06

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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.