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Finding the Fourth Proportional to 283,345.57, 424,751.19 and 141,056.38

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Solution

The fourth proportional to 283,345.57, 424,751.19 and 141,056.38 is: 211,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,345.57 : 424,751.19 = 141,056.38 : x
  2. Step 2: Convert to fraction form
    283,345.57/424,751.19 = 141,056.38/x
  3. Step 3: Cross multiply
    283,345.57x = 424,751.19 × 141,056.38
  4. Step 4: Simplify right side
    283,345.57x = 59,913,865,262.09
  5. Step 5: Solve for x
    x = 59,913,865,262.09/283,345.57
  6. Step 6: Final answer
    x = 211,451.57

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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.