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Finding the Fourth Proportional to 283,354.55, 424,985.70 and 114,868.07

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Solution

The fourth proportional to 283,354.55, 424,985.70 and 114,868.07 is: 172,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,354.55 : 424,985.70 = 114,868.07 : x
  2. Step 2: Convert to fraction form
    283,354.55/424,985.70 = 114,868.07/x
  3. Step 3: Cross multiply
    283,354.55x = 424,985.70 × 114,868.07
  4. Step 4: Simplify right side
    283,354.55x = 48,817,288,942.07
  5. Step 5: Solve for x
    x = 48,817,288,942.07/283,354.55
  6. Step 6: Final answer
    x = 172,283.41

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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.