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Finding the Fourth Proportional to 257,051.40, 385,461.90 and 99,227.40

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Solution

The fourth proportional to 257,051.40, 385,461.90 and 99,227.40 is: 148,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,051.40 : 385,461.90 = 99,227.40 : x
  2. Step 2: Convert to fraction form
    257,051.40/385,461.90 = 99,227.40/x
  3. Step 3: Cross multiply
    257,051.40x = 385,461.90 × 99,227.40
  4. Step 4: Simplify right side
    257,051.40x = 38,248,382,136.06
  5. Step 5: Solve for x
    x = 38,248,382,136.06/257,051.40
  6. Step 6: Final answer
    x = 148,796.63

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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.