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Finding the Fourth Proportional to 113,886.40, 170,829.60 and 82,393.60

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Solution

The fourth proportional to 113,886.40, 170,829.60 and 82,393.60 is: 123,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886.40 : 170,829.60 = 82,393.60 : x
  2. Step 2: Convert to fraction form
    113,886.40/170,829.60 = 82,393.60/x
  3. Step 3: Cross multiply
    113,886.40x = 170,829.60 × 82,393.60
  4. Step 4: Simplify right side
    113,886.40x = 14,075,265,730.56
  5. Step 5: Solve for x
    x = 14,075,265,730.56/113,886.40
  6. Step 6: Final answer
    x = 123,590.40

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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.