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Finding the Fourth Proportional to 118,530.42, 163,522.71 and 77,683.38

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Solution

The fourth proportional to 118,530.42, 163,522.71 and 77,683.38 is: 107,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,530.42 : 163,522.71 = 77,683.38 : x
  2. Step 2: Convert to fraction form
    118,530.42/163,522.71 = 77,683.38/x
  3. Step 3: Cross multiply
    118,530.42x = 163,522.71 × 77,683.38
  4. Step 4: Simplify right side
    118,530.42x = 12,702,996,819.56
  5. Step 5: Solve for x
    x = 12,702,996,819.56/118,530.42
  6. Step 6: Final answer
    x = 107,170.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.