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Finding the Fourth Proportional to 252,274.66, 378,513 and 102,526.48

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Solution

The fourth proportional to 252,274.66, 378,513 and 102,526.48 is: 153,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,274.66 : 378,513 = 102,526.48 : x
  2. Step 2: Convert to fraction form
    252,274.66/378,513 = 102,526.48/x
  3. Step 3: Cross multiply
    252,274.66x = 378,513 × 102,526.48
  4. Step 4: Simplify right side
    252,274.66x = 38,807,605,524.24
  5. Step 5: Solve for x
    x = 38,807,605,524.24/252,274.66
  6. Step 6: Final answer
    x = 153,830.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.