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Finding the Fourth Proportional to 160,495.84, 240,615.24 and 76,213.36

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Solution

The fourth proportional to 160,495.84, 240,615.24 and 76,213.36 is: 114,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,495.84 : 240,615.24 = 76,213.36 : x
  2. Step 2: Convert to fraction form
    160,495.84/240,615.24 = 76,213.36/x
  3. Step 3: Cross multiply
    160,495.84x = 240,615.24 × 76,213.36
  4. Step 4: Simplify right side
    160,495.84x = 18,338,095,907.61
  5. Step 5: Solve for x
    x = 18,338,095,907.61/160,495.84
  6. Step 6: Final answer
    x = 114,259.01

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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.