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Finding the Fourth Proportional to 120,503.84, 180,630.34 and 40,482.42

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Solution

The fourth proportional to 120,503.84, 180,630.34 and 40,482.42 is: 60,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,503.84 : 180,630.34 = 40,482.42 : x
  2. Step 2: Convert to fraction form
    120,503.84/180,630.34 = 40,482.42/x
  3. Step 3: Cross multiply
    120,503.84x = 180,630.34 × 40,482.42
  4. Step 4: Simplify right side
    120,503.84x = 7,312,352,510.05
  5. Step 5: Solve for x
    x = 7,312,352,510.05/120,503.84
  6. Step 6: Final answer
    x = 60,681.49

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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.