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Finding the Fourth Proportional to 257,307.93, 385,962.81 and 182,200.88

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Solution

The fourth proportional to 257,307.93, 385,962.81 and 182,200.88 is: 273,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,307.93 : 385,962.81 = 182,200.88 : x
  2. Step 2: Convert to fraction form
    257,307.93/385,962.81 = 182,200.88/x
  3. Step 3: Cross multiply
    257,307.93x = 385,962.81 × 182,200.88
  4. Step 4: Simplify right side
    257,307.93x = 70,322,762,718.27
  5. Step 5: Solve for x
    x = 70,322,762,718.27/257,307.93
  6. Step 6: Final answer
    x = 273,301.96

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1.5x scale

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.