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Finding the Fourth Proportional to 129,205.79, 178,289.71 and 77,520.14

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Solution

The fourth proportional to 129,205.79, 178,289.71 and 77,520.14 is: 106,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205.79 : 178,289.71 = 77,520.14 : x
  2. Step 2: Convert to fraction form
    129,205.79/178,289.71 = 77,520.14/x
  3. Step 3: Cross multiply
    129,205.79x = 178,289.71 × 77,520.14
  4. Step 4: Simplify right side
    129,205.79x = 13,821,043,696.42
  5. Step 5: Solve for x
    x = 13,821,043,696.42/129,205.79
  6. Step 6: Final answer
    x = 106,969.23

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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.