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Finding the Fourth Proportional to 116,640, 174,985.92 and 42,768

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Solution

The fourth proportional to 116,640, 174,985.92 and 42,768 is: 64,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,640 : 174,985.92 = 42,768 : x
  2. Step 2: Convert to fraction form
    116,640/174,985.92 = 42,768/x
  3. Step 3: Cross multiply
    116,640x = 174,985.92 × 42,768
  4. Step 4: Simplify right side
    116,640x = 7,483,797,826.56
  5. Step 5: Solve for x
    x = 7,483,797,826.56/116,640
  6. Step 6: Final answer
    x = 64,161.50

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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.