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Finding the Fourth Proportional to 145,864.75, 201,293.54 and 78,796.75

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Solution

The fourth proportional to 145,864.75, 201,293.54 and 78,796.75 is: 108,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,864.75 : 201,293.54 = 78,796.75 : x
  2. Step 2: Convert to fraction form
    145,864.75/201,293.54 = 78,796.75/x
  3. Step 3: Cross multiply
    145,864.75x = 201,293.54 × 78,796.75
  4. Step 4: Simplify right side
    145,864.75x = 15,861,276,748.00
  5. Step 5: Solve for x
    x = 15,861,276,748.00/145,864.75
  6. Step 6: Final answer
    x = 108,739.61

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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.