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Finding the Fourth Proportional to 145,894.75, 201,334.80 and 78,826.75

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Solution

The fourth proportional to 145,894.75, 201,334.80 and 78,826.75 is: 108,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,894.75 : 201,334.80 = 78,826.75 : x
  2. Step 2: Convert to fraction form
    145,894.75/201,334.80 = 78,826.75/x
  3. Step 3: Cross multiply
    145,894.75x = 201,334.80 × 78,826.75
  4. Step 4: Simplify right side
    145,894.75x = 15,870,567,945.90
  5. Step 5: Solve for x
    x = 15,870,567,945.90/145,894.75
  6. Step 6: Final answer
    x = 108,780.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.