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Finding the Fourth Proportional to 120,353.42, 180,547.41 and 41,446.46

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Solution

The fourth proportional to 120,353.42, 180,547.41 and 41,446.46 is: 62,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,353.42 : 180,547.41 = 41,446.46 : x
  2. Step 2: Convert to fraction form
    120,353.42/180,547.41 = 41,446.46/x
  3. Step 3: Cross multiply
    120,353.42x = 180,547.41 × 41,446.46
  4. Step 4: Simplify right side
    120,353.42x = 7,483,051,006.67
  5. Step 5: Solve for x
    x = 7,483,051,006.67/120,353.42
  6. Step 6: Final answer
    x = 62,175.64

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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.