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Finding the Fourth Proportional to 127,270, 175,632.60 and 74,278

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Solution

The fourth proportional to 127,270, 175,632.60 and 74,278 is: 102,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,270 : 175,632.60 = 74,278 : x
  2. Step 2: Convert to fraction form
    127,270/175,632.60 = 74,278/x
  3. Step 3: Cross multiply
    127,270x = 175,632.60 × 74,278
  4. Step 4: Simplify right side
    127,270x = 13,045,638,262.80
  5. Step 5: Solve for x
    x = 13,045,638,262.80/127,270
  6. Step 6: Final answer
    x = 102,503.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.