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Finding the Fourth Proportional to 255,916.83, 353,110.49 and 147,034.51

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Solution

The fourth proportional to 255,916.83, 353,110.49 and 147,034.51 is: 202,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,916.83 : 353,110.49 = 147,034.51 : x
  2. Step 2: Convert to fraction form
    255,916.83/353,110.49 = 147,034.51/x
  3. Step 3: Cross multiply
    255,916.83x = 353,110.49 × 147,034.51
  4. Step 4: Simplify right side
    255,916.83x = 51,919,426,255.06
  5. Step 5: Solve for x
    x = 51,919,426,255.06/255,916.83
  6. Step 6: Final answer
    x = 202,876.17

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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.