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Finding the Fourth Proportional to 145,710.74, 201,099.97 and 82,060.98

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Solution

The fourth proportional to 145,710.74, 201,099.97 and 82,060.98 is: 113,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,710.74 : 201,099.97 = 82,060.98 : x
  2. Step 2: Convert to fraction form
    145,710.74/201,099.97 = 82,060.98/x
  3. Step 3: Cross multiply
    145,710.74x = 201,099.97 × 82,060.98
  4. Step 4: Simplify right side
    145,710.74x = 16,502,460,616.17
  5. Step 5: Solve for x
    x = 16,502,460,616.17/145,710.74
  6. Step 6: Final answer
    x = 113,254.94

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Why These Related Problems?

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