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Finding the Fourth Proportional to 257,075.40, 385,613.10 and 151,840.20

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Solution

The fourth proportional to 257,075.40, 385,613.10 and 151,840.20 is: 227,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,075.40 : 385,613.10 = 151,840.20 : x
  2. Step 2: Convert to fraction form
    257,075.40/385,613.10 = 151,840.20/x
  3. Step 3: Cross multiply
    257,075.40x = 385,613.10 × 151,840.20
  4. Step 4: Simplify right side
    257,075.40x = 58,551,570,226.62
  5. Step 5: Solve for x
    x = 58,551,570,226.62/257,075.40
  6. Step 6: Final answer
    x = 227,760.30

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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.