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Finding the Fourth Proportional to 104,506.49, 156,610.29 and 83,510.38

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Solution

The fourth proportional to 104,506.49, 156,610.29 and 83,510.38 is: 125,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,506.49 : 156,610.29 = 83,510.38 : x
  2. Step 2: Convert to fraction form
    104,506.49/156,610.29 = 83,510.38/x
  3. Step 3: Cross multiply
    104,506.49x = 156,610.29 × 83,510.38
  4. Step 4: Simplify right side
    104,506.49x = 13,078,584,829.81
  5. Step 5: Solve for x
    x = 13,078,584,829.81/104,506.49
  6. Step 6: Final answer
    x = 125,146.15

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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.