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Finding the Fourth Proportional to 212,157.78, 292,766.85 and 116,662.02

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Solution

The fourth proportional to 212,157.78, 292,766.85 and 116,662.02 is: 160,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,157.78 : 292,766.85 = 116,662.02 : x
  2. Step 2: Convert to fraction form
    212,157.78/292,766.85 = 116,662.02/x
  3. Step 3: Cross multiply
    212,157.78x = 292,766.85 × 116,662.02
  4. Step 4: Simplify right side
    212,157.78x = 34,154,772,110.04
  5. Step 5: Solve for x
    x = 34,154,772,110.04/212,157.78
  6. Step 6: Final answer
    x = 160,987.60

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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.