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Finding the Fourth Proportional to 202,598, 279,585.24 and 113,174

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Solution

The fourth proportional to 202,598, 279,585.24 and 113,174 is: 156,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,598 : 279,585.24 = 113,174 : x
  2. Step 2: Convert to fraction form
    202,598/279,585.24 = 113,174/x
  3. Step 3: Cross multiply
    202,598x = 279,585.24 × 113,174
  4. Step 4: Simplify right side
    202,598x = 31,641,779,951.76
  5. Step 5: Solve for x
    x = 31,641,779,951.76/202,598
  6. Step 6: Final answer
    x = 156,180.12

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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.