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Finding the Fourth Proportional to 235,666.35, 353,554.89 and 77,894.81

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Solution

The fourth proportional to 235,666.35, 353,554.89 and 77,894.81 is: 116,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,666.35 : 353,554.89 = 77,894.81 : x
  2. Step 2: Convert to fraction form
    235,666.35/353,554.89 = 77,894.81/x
  3. Step 3: Cross multiply
    235,666.35x = 353,554.89 × 77,894.81
  4. Step 4: Simplify right side
    235,666.35x = 27,540,091,865.01
  5. Step 5: Solve for x
    x = 27,540,091,865.01/235,666.35
  6. Step 6: Final answer
    x = 116,860.52

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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.