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Finding the Fourth Proportional to 145,958.40, 201,422.16 and 78,890.40

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Solution

The fourth proportional to 145,958.40, 201,422.16 and 78,890.40 is: 108,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,958.40 : 201,422.16 = 78,890.40 : x
  2. Step 2: Convert to fraction form
    145,958.40/201,422.16 = 78,890.40/x
  3. Step 3: Cross multiply
    145,958.40x = 201,422.16 × 78,890.40
  4. Step 4: Simplify right side
    145,958.40x = 15,890,274,771.26
  5. Step 5: Solve for x
    x = 15,890,274,771.26/145,958.40
  6. Step 6: Final answer
    x = 108,868.52

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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.