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Finding the Fourth Proportional to 213,907.60, 295,242.06 and 142,290.64

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Solution

The fourth proportional to 213,907.60, 295,242.06 and 142,290.64 is: 196,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,907.60 : 295,242.06 = 142,290.64 : x
  2. Step 2: Convert to fraction form
    213,907.60/295,242.06 = 142,290.64/x
  3. Step 3: Cross multiply
    213,907.60x = 295,242.06 × 142,290.64
  4. Step 4: Simplify right side
    213,907.60x = 42,010,181,672.32
  5. Step 5: Solve for x
    x = 42,010,181,672.32/213,907.60
  6. Step 6: Final answer
    x = 196,394.06

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1.5x scale

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.