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Finding the Fourth Proportional to 257,784.40, 386,817.54 and 100,019.08

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Solution

The fourth proportional to 257,784.40, 386,817.54 and 100,019.08 is: 150,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,784.40 : 386,817.54 = 100,019.08 : x
  2. Step 2: Convert to fraction form
    257,784.40/386,817.54 = 100,019.08/x
  3. Step 3: Cross multiply
    257,784.40x = 386,817.54 × 100,019.08
  4. Step 4: Simplify right side
    257,784.40x = 38,689,134,478.66
  5. Step 5: Solve for x
    x = 38,689,134,478.66/257,784.40
  6. Step 6: Final answer
    x = 150,083.30

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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.