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Finding the Fourth Proportional to 229,506.54, 316,718.40 and 127,531.60

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Solution

The fourth proportional to 229,506.54, 316,718.40 and 127,531.60 is: 175,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,506.54 : 316,718.40 = 127,531.60 : x
  2. Step 2: Convert to fraction form
    229,506.54/316,718.40 = 127,531.60/x
  3. Step 3: Cross multiply
    229,506.54x = 316,718.40 × 127,531.60
  4. Step 4: Simplify right side
    229,506.54x = 40,391,604,301.44
  5. Step 5: Solve for x
    x = 40,391,604,301.44/229,506.54
  6. Step 6: Final answer
    x = 175,993.26

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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.