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Finding the Fourth Proportional to 283,055.85, 424,646.15 and 123,156.89

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Solution

The fourth proportional to 283,055.85, 424,646.15 and 123,156.89 is: 184,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,055.85 : 424,646.15 = 123,156.89 : x
  2. Step 2: Convert to fraction form
    283,055.85/424,646.15 = 123,156.89/x
  3. Step 3: Cross multiply
    283,055.85x = 424,646.15 × 123,156.89
  4. Step 4: Simplify right side
    283,055.85x = 52,298,098,037.88
  5. Step 5: Solve for x
    x = 52,298,098,037.88/283,055.85
  6. Step 6: Final answer
    x = 184,762.47

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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.