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Finding the Fourth Proportional to 138,075.30, 190,530.09 and 77,636.34

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Solution

The fourth proportional to 138,075.30, 190,530.09 and 77,636.34 is: 107,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,075.30 : 190,530.09 = 77,636.34 : x
  2. Step 2: Convert to fraction form
    138,075.30/190,530.09 = 77,636.34/x
  3. Step 3: Cross multiply
    138,075.30x = 190,530.09 × 77,636.34
  4. Step 4: Simplify right side
    138,075.30x = 14,792,058,847.47
  5. Step 5: Solve for x
    x = 14,792,058,847.47/138,075.30
  6. Step 6: Final answer
    x = 107,130.38

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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.