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Finding the Fourth Proportional to 283,495.66, 425,235.70 and 123,571.50

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Solution

The fourth proportional to 283,495.66, 425,235.70 and 123,571.50 is: 185,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,495.66 : 425,235.70 = 123,571.50 : x
  2. Step 2: Convert to fraction form
    283,495.66/425,235.70 = 123,571.50/x
  3. Step 3: Cross multiply
    283,495.66x = 425,235.70 × 123,571.50
  4. Step 4: Simplify right side
    283,495.66x = 52,547,013,302.55
  5. Step 5: Solve for x
    x = 52,547,013,302.55/283,495.66
  6. Step 6: Final answer
    x = 185,353.85

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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.