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Finding the Fourth Proportional to 117,534.31, 176,300.25 and 28,788.28

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Solution

The fourth proportional to 117,534.31, 176,300.25 and 28,788.28 is: 43,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,534.31 : 176,300.25 = 28,788.28 : x
  2. Step 2: Convert to fraction form
    117,534.31/176,300.25 = 28,788.28/x
  3. Step 3: Cross multiply
    117,534.31x = 176,300.25 × 28,788.28
  4. Step 4: Simplify right side
    117,534.31x = 5,075,380,961.07
  5. Step 5: Solve for x
    x = 5,075,380,961.07/117,534.31
  6. Step 6: Final answer
    x = 43,182.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.