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Finding the Fourth Proportional to 176,461.36, 264,625.78 and 64,113.84

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Solution

The fourth proportional to 176,461.36, 264,625.78 and 64,113.84 is: 96,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,461.36 : 264,625.78 = 64,113.84 : x
  2. Step 2: Convert to fraction form
    176,461.36/264,625.78 = 64,113.84/x
  3. Step 3: Cross multiply
    176,461.36x = 264,625.78 × 64,113.84
  4. Step 4: Simplify right side
    176,461.36x = 16,966,174,918.80
  5. Step 5: Solve for x
    x = 16,966,174,918.80/176,461.36
  6. Step 6: Final answer
    x = 96,146.69

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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.