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Finding the Fourth Proportional to 233,560, 322,314.08 and 127,576

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Solution

The fourth proportional to 233,560, 322,314.08 and 127,576 is: 176,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,560 : 322,314.08 = 127,576 : x
  2. Step 2: Convert to fraction form
    233,560/322,314.08 = 127,576/x
  3. Step 3: Cross multiply
    233,560x = 322,314.08 × 127,576
  4. Step 4: Simplify right side
    233,560x = 41,119,541,070.08
  5. Step 5: Solve for x
    x = 41,119,541,070.08/233,560
  6. Step 6: Final answer
    x = 176,055.58

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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.