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Finding the Fourth Proportional to 180,312.60, 270,448.02 and 47,205.66

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Solution

The fourth proportional to 180,312.60, 270,448.02 and 47,205.66 is: 70,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,312.60 : 270,448.02 = 47,205.66 : x
  2. Step 2: Convert to fraction form
    180,312.60/270,448.02 = 47,205.66/x
  3. Step 3: Cross multiply
    180,312.60x = 270,448.02 × 47,205.66
  4. Step 4: Simplify right side
    180,312.60x = 12,766,677,279.79
  5. Step 5: Solve for x
    x = 12,766,677,279.79/180,312.60
  6. Step 6: Final answer
    x = 70,803.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.