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Finding the Fourth Proportional to 176,032.10, 264,048.15 and 57,674.90

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Solution

The fourth proportional to 176,032.10, 264,048.15 and 57,674.90 is: 86,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,032.10 : 264,048.15 = 57,674.90 : x
  2. Step 2: Convert to fraction form
    176,032.10/264,048.15 = 57,674.90/x
  3. Step 3: Cross multiply
    176,032.10x = 264,048.15 × 57,674.90
  4. Step 4: Simplify right side
    176,032.10x = 15,228,950,646.44
  5. Step 5: Solve for x
    x = 15,228,950,646.44/176,032.10
  6. Step 6: Final answer
    x = 86,512.35

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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.