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Finding the Fourth Proportional to 227,802.85, 314,370.93 and 125,828.01

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Solution

The fourth proportional to 227,802.85, 314,370.93 and 125,828.01 is: 173,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,802.85 : 314,370.93 = 125,828.01 : x
  2. Step 2: Convert to fraction form
    227,802.85/314,370.93 = 125,828.01/x
  3. Step 3: Cross multiply
    227,802.85x = 314,370.93 × 125,828.01
  4. Step 4: Simplify right side
    227,802.85x = 39,556,668,523.75
  5. Step 5: Solve for x
    x = 39,556,668,523.75/227,802.85
  6. Step 6: Final answer
    x = 173,644.31

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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.