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Finding the Fourth Proportional to 274,017.58, 410,981.54 and 96,482.86

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Solution

The fourth proportional to 274,017.58, 410,981.54 and 96,482.86 is: 144,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,017.58 : 410,981.54 = 96,482.86 : x
  2. Step 2: Convert to fraction form
    274,017.58/410,981.54 = 96,482.86/x
  3. Step 3: Cross multiply
    274,017.58x = 410,981.54 × 96,482.86
  4. Step 4: Simplify right side
    274,017.58x = 39,652,671,849.08
  5. Step 5: Solve for x
    x = 39,652,671,849.08/274,017.58
  6. Step 6: Final answer
    x = 144,708.50

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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.