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Finding the Fourth Proportional to 173,820.90, 260,731.35 and 120,368.10

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Solution

The fourth proportional to 173,820.90, 260,731.35 and 120,368.10 is: 180,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,820.90 : 260,731.35 = 120,368.10 : x
  2. Step 2: Convert to fraction form
    173,820.90/260,731.35 = 120,368.10/x
  3. Step 3: Cross multiply
    173,820.90x = 260,731.35 × 120,368.10
  4. Step 4: Simplify right side
    173,820.90x = 31,383,737,209.94
  5. Step 5: Solve for x
    x = 31,383,737,209.94/173,820.90
  6. Step 6: Final answer
    x = 180,552.15

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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.