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Finding the Fourth Proportional to 267,727.64, 369,466.98 and 146,869.16

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Solution

The fourth proportional to 267,727.64, 369,466.98 and 146,869.16 is: 202,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,727.64 : 369,466.98 = 146,869.16 : x
  2. Step 2: Convert to fraction form
    267,727.64/369,466.98 = 146,869.16/x
  3. Step 3: Cross multiply
    267,727.64x = 369,466.98 × 146,869.16
  4. Step 4: Simplify right side
    267,727.64x = 54,263,305,000.34
  5. Step 5: Solve for x
    x = 54,263,305,000.34/267,727.64
  6. Step 6: Final answer
    x = 202,681.00

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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.