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Finding the Fourth Proportional to 116,587.80, 174,968.10 and 77,131.80

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Solution

The fourth proportional to 116,587.80, 174,968.10 and 77,131.80 is: 115,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,587.80 : 174,968.10 = 77,131.80 : x
  2. Step 2: Convert to fraction form
    116,587.80/174,968.10 = 77,131.80/x
  3. Step 3: Cross multiply
    116,587.80x = 174,968.10 × 77,131.80
  4. Step 4: Simplify right side
    116,587.80x = 13,495,604,495.58
  5. Step 5: Solve for x
    x = 13,495,604,495.58/116,587.80
  6. Step 6: Final answer
    x = 115,754.86

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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.