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Finding the Fourth Proportional to 150,714.50, 207,995.73 and 83,646.50

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Solution

The fourth proportional to 150,714.50, 207,995.73 and 83,646.50 is: 115,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,714.50 : 207,995.73 = 83,646.50 : x
  2. Step 2: Convert to fraction form
    150,714.50/207,995.73 = 83,646.50/x
  3. Step 3: Cross multiply
    150,714.50x = 207,995.73 × 83,646.50
  4. Step 4: Simplify right side
    150,714.50x = 17,398,114,829.45
  5. Step 5: Solve for x
    x = 17,398,114,829.45/150,714.50
  6. Step 6: Final answer
    x = 115,437.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.