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Finding the Fourth Proportional to 255,135.64, 382,512.82 and 176,024.12

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Solution

The fourth proportional to 255,135.64, 382,512.82 and 176,024.12 is: 263,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,135.64 : 382,512.82 = 176,024.12 : x
  2. Step 2: Convert to fraction form
    255,135.64/382,512.82 = 176,024.12/x
  3. Step 3: Cross multiply
    255,135.64x = 382,512.82 × 176,024.12
  4. Step 4: Simplify right side
    255,135.64x = 67,331,482,529.22
  5. Step 5: Solve for x
    x = 67,331,482,529.22/255,135.64
  6. Step 6: Final answer
    x = 263,904.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.