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Finding the Fourth Proportional to 274,017.64, 410,981.63 and 96,482.92

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Solution

The fourth proportional to 274,017.64, 410,981.63 and 96,482.92 is: 144,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,017.64 : 410,981.63 = 96,482.92 : x
  2. Step 2: Convert to fraction form
    274,017.64/410,981.63 = 96,482.92/x
  3. Step 3: Cross multiply
    274,017.64x = 410,981.63 × 96,482.92
  4. Step 4: Simplify right side
    274,017.64x = 39,652,706,942.51
  5. Step 5: Solve for x
    x = 39,652,706,942.51/274,017.64
  6. Step 6: Final answer
    x = 144,708.59

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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.