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Finding the Fourth Proportional to 117,340.75, 176,024.64 and 42,496.14

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Solution

The fourth proportional to 117,340.75, 176,024.64 and 42,496.14 is: 63,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,340.75 : 176,024.64 = 42,496.14 : x
  2. Step 2: Convert to fraction form
    117,340.75/176,024.64 = 42,496.14/x
  3. Step 3: Cross multiply
    117,340.75x = 176,024.64 × 42,496.14
  4. Step 4: Simplify right side
    117,340.75x = 7,480,368,564.34
  5. Step 5: Solve for x
    x = 7,480,368,564.34/117,340.75
  6. Step 6: Final answer
    x = 63,749.11

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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.