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Finding the Fourth Proportional to 145,676.25, 201,038.70 and 80,267.76

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Solution

The fourth proportional to 145,676.25, 201,038.70 and 80,267.76 is: 110,772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,676.25 : 201,038.70 = 80,267.76 : x
  2. Step 2: Convert to fraction form
    145,676.25/201,038.70 = 80,267.76/x
  3. Step 3: Cross multiply
    145,676.25x = 201,038.70 × 80,267.76
  4. Step 4: Simplify right side
    145,676.25x = 16,136,926,122.31
  5. Step 5: Solve for x
    x = 16,136,926,122.31/145,676.25
  6. Step 6: Final answer
    x = 110,772.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.