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Finding the Fourth Proportional to 150,916.50, 208,265.58 and 83,848.50

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Solution

The fourth proportional to 150,916.50, 208,265.58 and 83,848.50 is: 115,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,916.50 : 208,265.58 = 83,848.50 : x
  2. Step 2: Convert to fraction form
    150,916.50/208,265.58 = 83,848.50/x
  3. Step 3: Cross multiply
    150,916.50x = 208,265.58 × 83,848.50
  4. Step 4: Simplify right side
    150,916.50x = 17,462,756,484.63
  5. Step 5: Solve for x
    x = 17,462,756,484.63/150,916.50
  6. Step 6: Final answer
    x = 115,711.38

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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.