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Finding the Fourth Proportional to 257,098.40, 385,647.60 and 117,130.40

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Solution

The fourth proportional to 257,098.40, 385,647.60 and 117,130.40 is: 175,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098.40 : 385,647.60 = 117,130.40 : x
  2. Step 2: Convert to fraction form
    257,098.40/385,647.60 = 117,130.40/x
  3. Step 3: Cross multiply
    257,098.40x = 385,647.60 × 117,130.40
  4. Step 4: Simplify right side
    257,098.40x = 45,171,057,647.04
  5. Step 5: Solve for x
    x = 45,171,057,647.04/257,098.40
  6. Step 6: Final answer
    x = 175,695.60

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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.