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Finding the Fourth Proportional to 264,903.20, 397,095.60 and 106,920.80

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Solution

The fourth proportional to 264,903.20, 397,095.60 and 106,920.80 is: 160,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,903.20 : 397,095.60 = 106,920.80 : x
  2. Step 2: Convert to fraction form
    264,903.20/397,095.60 = 106,920.80/x
  3. Step 3: Cross multiply
    264,903.20x = 397,095.60 × 106,920.80
  4. Step 4: Simplify right side
    264,903.20x = 42,457,779,228.48
  5. Step 5: Solve for x
    x = 42,457,779,228.48/264,903.20
  6. Step 6: Final answer
    x = 160,276.58

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1.5x scale

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.