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Finding the Fourth Proportional to 102,365.40, 141,262.38 and 57,653.40

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Solution

The fourth proportional to 102,365.40, 141,262.38 and 57,653.40 is: 79,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.40 : 141,262.38 = 57,653.40 : x
  2. Step 2: Convert to fraction form
    102,365.40/141,262.38 = 57,653.40/x
  3. Step 3: Cross multiply
    102,365.40x = 141,262.38 × 57,653.40
  4. Step 4: Simplify right side
    102,365.40x = 8,144,256,499.09
  5. Step 5: Solve for x
    x = 8,144,256,499.09/102,365.40
  6. Step 6: Final answer
    x = 79,560.64

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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.