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Finding the Fourth Proportional to 214,437.80, 295,916.60 and 118,953.38

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Solution

The fourth proportional to 214,437.80, 295,916.60 and 118,953.38 is: 164,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,437.80 : 295,916.60 = 118,953.38 : x
  2. Step 2: Convert to fraction form
    214,437.80/295,916.60 = 118,953.38/x
  3. Step 3: Cross multiply
    214,437.80x = 295,916.60 × 118,953.38
  4. Step 4: Simplify right side
    214,437.80x = 35,200,280,805.28
  5. Step 5: Solve for x
    x = 35,200,280,805.28/214,437.80
  6. Step 6: Final answer
    x = 164,151.47

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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.