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Finding the Fourth Proportional to 227,908.63, 314,513.93 and 127,306.63

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Solution

The fourth proportional to 227,908.63, 314,513.93 and 127,306.63 is: 175,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,908.63 : 314,513.93 = 127,306.63 : x
  2. Step 2: Convert to fraction form
    227,908.63/314,513.93 = 127,306.63/x
  3. Step 3: Cross multiply
    227,908.63x = 314,513.93 × 127,306.63
  4. Step 4: Simplify right side
    227,908.63x = 40,039,706,307.25
  5. Step 5: Solve for x
    x = 40,039,706,307.25/227,908.63
  6. Step 6: Final answer
    x = 175,683.16

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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.