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Finding the Fourth Proportional to 180,712.80, 271,328.40 and 141,314.40

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Solution

The fourth proportional to 180,712.80, 271,328.40 and 141,314.40 is: 212,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,712.80 : 271,328.40 = 141,314.40 : x
  2. Step 2: Convert to fraction form
    180,712.80/271,328.40 = 141,314.40/x
  3. Step 3: Cross multiply
    180,712.80x = 271,328.40 × 141,314.40
  4. Step 4: Simplify right side
    180,712.80x = 38,342,610,048.96
  5. Step 5: Solve for x
    x = 38,342,610,048.96/180,712.80
  6. Step 6: Final answer
    x = 212,174.29

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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.