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Finding the Fourth Proportional to 212,597.64, 293,506.74 and 141,074.64

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Solution

The fourth proportional to 212,597.64, 293,506.74 and 141,074.64 is: 194,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,597.64 : 293,506.74 = 141,074.64 : x
  2. Step 2: Convert to fraction form
    212,597.64/293,506.74 = 141,074.64/x
  3. Step 3: Cross multiply
    212,597.64x = 293,506.74 × 141,074.64
  4. Step 4: Simplify right side
    212,597.64x = 41,406,357,683.07
  5. Step 5: Solve for x
    x = 41,406,357,683.07/212,597.64
  6. Step 6: Final answer
    x = 194,763.96

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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.