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Finding the Fourth Proportional to 199,483.48, 275,322.82 and 118,916.14

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Solution

The fourth proportional to 199,483.48, 275,322.82 and 118,916.14 is: 164,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,483.48 : 275,322.82 = 118,916.14 : x
  2. Step 2: Convert to fraction form
    199,483.48/275,322.82 = 118,916.14/x
  3. Step 3: Cross multiply
    199,483.48x = 275,322.82 × 118,916.14
  4. Step 4: Simplify right side
    199,483.48x = 32,740,327,008.31
  5. Step 5: Solve for x
    x = 32,740,327,008.31/199,483.48
  6. Step 6: Final answer
    x = 164,125.51

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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.