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Finding the Fourth Proportional to 150,814, 208,123.32 and 83,746

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Solution

The fourth proportional to 150,814, 208,123.32 and 83,746 is: 115,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,814 : 208,123.32 = 83,746 : x
  2. Step 2: Convert to fraction form
    150,814/208,123.32 = 83,746/x
  3. Step 3: Cross multiply
    150,814x = 208,123.32 × 83,746
  4. Step 4: Simplify right side
    150,814x = 17,429,495,556.72
  5. Step 5: Solve for x
    x = 17,429,495,556.72/150,814
  6. Step 6: Final answer
    x = 115,569.48

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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.