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Finding the Fourth Proportional to 267,271.40, 368,834.95 and 146,410.03

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Solution

The fourth proportional to 267,271.40, 368,834.95 and 146,410.03 is: 202,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,271.40 : 368,834.95 = 146,410.03 : x
  2. Step 2: Convert to fraction form
    267,271.40/368,834.95 = 146,410.03/x
  3. Step 3: Cross multiply
    267,271.40x = 368,834.95 × 146,410.03
  4. Step 4: Simplify right side
    267,271.40x = 54,001,136,094.55
  5. Step 5: Solve for x
    x = 54,001,136,094.55/267,271.40
  6. Step 6: Final answer
    x = 202,046.07

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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.