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Finding the Fourth Proportional to 116,828, 175,607.80 and 77,102.26

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Solution

The fourth proportional to 116,828, 175,607.80 and 77,102.26 is: 115,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,828 : 175,607.80 = 77,102.26 : x
  2. Step 2: Convert to fraction form
    116,828/175,607.80 = 77,102.26/x
  3. Step 3: Cross multiply
    116,828x = 175,607.80 × 77,102.26
  4. Step 4: Simplify right side
    116,828x = 13,539,758,253.63
  5. Step 5: Solve for x
    x = 13,539,758,253.63/116,828
  6. Step 6: Final answer
    x = 115,894.80

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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.