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Finding the Fourth Proportional to 188,755.16, 283,133.32 and 46,600.45

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Solution

The fourth proportional to 188,755.16, 283,133.32 and 46,600.45 is: 69,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,755.16 : 283,133.32 = 46,600.45 : x
  2. Step 2: Convert to fraction form
    188,755.16/283,133.32 = 46,600.45/x
  3. Step 3: Cross multiply
    188,755.16x = 283,133.32 × 46,600.45
  4. Step 4: Simplify right side
    188,755.16x = 13,194,140,423.29
  5. Step 5: Solve for x
    x = 13,194,140,423.29/188,755.16
  6. Step 6: Final answer
    x = 69,900.82

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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.