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Finding the Fourth Proportional to 202,326.88, 303,529.40 and 77,658.16

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Solution

The fourth proportional to 202,326.88, 303,529.40 and 77,658.16 is: 116,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,326.88 : 303,529.40 = 77,658.16 : x
  2. Step 2: Convert to fraction form
    202,326.88/303,529.40 = 77,658.16/x
  3. Step 3: Cross multiply
    202,326.88x = 303,529.40 × 77,658.16
  4. Step 4: Simplify right side
    202,326.88x = 23,571,534,709.90
  5. Step 5: Solve for x
    x = 23,571,534,709.90/202,326.88
  6. Step 6: Final answer
    x = 116,502.24

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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.