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Finding the Fourth Proportional to 127,984.49, 176,536.37 and 77,683.49

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Solution

The fourth proportional to 127,984.49, 176,536.37 and 77,683.49 is: 107,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,984.49 : 176,536.37 = 77,683.49 : x
  2. Step 2: Convert to fraction form
    127,984.49/176,536.37 = 77,683.49/x
  3. Step 3: Cross multiply
    127,984.49x = 176,536.37 × 77,683.49
  4. Step 4: Simplify right side
    127,984.49x = 13,713,960,945.11
  5. Step 5: Solve for x
    x = 13,713,960,945.11/127,984.49
  6. Step 6: Final answer
    x = 107,153.30

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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.