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Finding the Fourth Proportional to 451,693.64, 677,642.72 and 152,166.04

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Solution

The fourth proportional to 451,693.64, 677,642.72 and 152,166.04 is: 228,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,693.64 : 677,642.72 = 152,166.04 : x
  2. Step 2: Convert to fraction form
    451,693.64/677,642.72 = 152,166.04/x
  3. Step 3: Cross multiply
    451,693.64x = 677,642.72 × 152,166.04
  4. Step 4: Simplify right side
    451,693.64x = 103,114,206,782.29
  5. Step 5: Solve for x
    x = 103,114,206,782.29/451,693.64
  6. Step 6: Final answer
    x = 228,283.50

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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.