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Finding the Fourth Proportional to 180,986.16, 271,595.88 and 70,178.16

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Solution

The fourth proportional to 180,986.16, 271,595.88 and 70,178.16 is: 105,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,986.16 : 271,595.88 = 70,178.16 : x
  2. Step 2: Convert to fraction form
    180,986.16/271,595.88 = 70,178.16/x
  3. Step 3: Cross multiply
    180,986.16x = 271,595.88 × 70,178.16
  4. Step 4: Simplify right side
    180,986.16x = 19,060,099,121.98
  5. Step 5: Solve for x
    x = 19,060,099,121.98/180,986.16
  6. Step 6: Final answer
    x = 105,312.47

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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.