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Finding the Fourth Proportional to 183,365.38, 253,065.22 and 102,814.66

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Solution

The fourth proportional to 183,365.38, 253,065.22 and 102,814.66 is: 141,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,365.38 : 253,065.22 = 102,814.66 : x
  2. Step 2: Convert to fraction form
    183,365.38/253,065.22 = 102,814.66/x
  3. Step 3: Cross multiply
    183,365.38x = 253,065.22 × 102,814.66
  4. Step 4: Simplify right side
    183,365.38x = 26,018,814,552.13
  5. Step 5: Solve for x
    x = 26,018,814,552.13/183,365.38
  6. Step 6: Final answer
    x = 141,896.00

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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.