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Finding the Fourth Proportional to 120,322.74, 165,924.94 and 80,038.20

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Solution

The fourth proportional to 120,322.74, 165,924.94 and 80,038.20 is: 110,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,322.74 : 165,924.94 = 80,038.20 : x
  2. Step 2: Convert to fraction form
    120,322.74/165,924.94 = 80,038.20/x
  3. Step 3: Cross multiply
    120,322.74x = 165,924.94 × 80,038.20
  4. Step 4: Simplify right side
    120,322.74x = 13,280,333,532.71
  5. Step 5: Solve for x
    x = 13,280,333,532.71/120,322.74
  6. Step 6: Final answer
    x = 110,372.60

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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.