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Finding the Fourth Proportional to 235,669.01, 353,558.87 and 77,897.46

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Solution

The fourth proportional to 235,669.01, 353,558.87 and 77,897.46 is: 116,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,669.01 : 353,558.87 = 77,897.46 : x
  2. Step 2: Convert to fraction form
    235,669.01/353,558.87 = 77,897.46/x
  3. Step 3: Cross multiply
    235,669.01x = 353,558.87 × 77,897.46
  4. Step 4: Simplify right side
    235,669.01x = 27,541,337,543.98
  5. Step 5: Solve for x
    x = 27,541,337,543.98/235,669.01
  6. Step 6: Final answer
    x = 116,864.49

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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.