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Finding the Fourth Proportional to 227,681.19, 314,453.79 and 177,300

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Solution

The fourth proportional to 227,681.19, 314,453.79 and 177,300 is: 244,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,681.19 : 314,453.79 = 177,300 : x
  2. Step 2: Convert to fraction form
    227,681.19/314,453.79 = 177,300/x
  3. Step 3: Cross multiply
    227,681.19x = 314,453.79 × 177,300
  4. Step 4: Simplify right side
    227,681.19x = 55,752,656,967
  5. Step 5: Solve for x
    x = 55,752,656,967/227,681.19
  6. Step 6: Final answer
    x = 244,871.60

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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.