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Finding the Fourth Proportional to 117,887.40, 176,483.61 and 77,832.90

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Solution

The fourth proportional to 117,887.40, 176,483.61 and 77,832.90 is: 116,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,887.40 : 176,483.61 = 77,832.90 : x
  2. Step 2: Convert to fraction form
    117,887.40/176,483.61 = 77,832.90/x
  3. Step 3: Cross multiply
    117,887.40x = 176,483.61 × 77,832.90
  4. Step 4: Simplify right side
    117,887.40x = 13,736,231,168.77
  5. Step 5: Solve for x
    x = 13,736,231,168.77/117,887.40
  6. Step 6: Final answer
    x = 116,519.93

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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.