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Finding the Fourth Proportional to 235,384.10, 353,076.15 and 77,592.05

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Solution

The fourth proportional to 235,384.10, 353,076.15 and 77,592.05 is: 116,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,384.10 : 353,076.15 = 77,592.05 : x
  2. Step 2: Convert to fraction form
    235,384.10/353,076.15 = 77,592.05/x
  3. Step 3: Cross multiply
    235,384.10x = 353,076.15 × 77,592.05
  4. Step 4: Simplify right side
    235,384.10x = 27,395,902,284.61
  5. Step 5: Solve for x
    x = 27,395,902,284.61/235,384.10
  6. Step 6: Final answer
    x = 116,388.08

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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.