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Finding the Fourth Proportional to 150,332, 207,464.76 and 83,264

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Solution

The fourth proportional to 150,332, 207,464.76 and 83,264 is: 114,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,332 : 207,464.76 = 83,264 : x
  2. Step 2: Convert to fraction form
    150,332/207,464.76 = 83,264/x
  3. Step 3: Cross multiply
    150,332x = 207,464.76 × 83,264
  4. Step 4: Simplify right side
    150,332x = 17,274,345,776.64
  5. Step 5: Solve for x
    x = 17,274,345,776.64/150,332
  6. Step 6: Final answer
    x = 114,907.98

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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.