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Finding the Fourth Proportional to 283,523.52, 425,368.32 and 83,849.07

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Solution

The fourth proportional to 283,523.52, 425,368.32 and 83,849.07 is: 125,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,523.52 : 425,368.32 = 83,849.07 : x
  2. Step 2: Convert to fraction form
    283,523.52/425,368.32 = 83,849.07/x
  3. Step 3: Cross multiply
    283,523.52x = 425,368.32 × 83,849.07
  4. Step 4: Simplify right side
    283,523.52x = 35,666,738,039.46
  5. Step 5: Solve for x
    x = 35,666,738,039.46/283,523.52
  6. Step 6: Final answer
    x = 125,798.16

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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.