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Finding the Fourth Proportional to 180,697.42, 271,068 and 170,746.57

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Solution

The fourth proportional to 180,697.42, 271,068 and 170,746.57 is: 256,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,697.42 : 271,068 = 170,746.57 : x
  2. Step 2: Convert to fraction form
    180,697.42/271,068 = 170,746.57/x
  3. Step 3: Cross multiply
    180,697.42x = 271,068 × 170,746.57
  4. Step 4: Simplify right side
    180,697.42x = 46,283,931,236.76
  5. Step 5: Solve for x
    x = 46,283,931,236.76/180,697.42
  6. Step 6: Final answer
    x = 256,140.52

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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.