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Finding the Fourth Proportional to 233,628, 322,406.64 and 127,644

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Solution

The fourth proportional to 233,628, 322,406.64 and 127,644 is: 176,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,628 : 322,406.64 = 127,644 : x
  2. Step 2: Convert to fraction form
    233,628/322,406.64 = 127,644/x
  3. Step 3: Cross multiply
    233,628x = 322,406.64 × 127,644
  4. Step 4: Simplify right side
    233,628x = 41,153,273,156.16
  5. Step 5: Solve for x
    x = 41,153,273,156.16/233,628
  6. Step 6: Final answer
    x = 176,148.72

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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.