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Finding the Fourth Proportional to 116,289.32, 160,477.32 and 65,302.52

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Solution

The fourth proportional to 116,289.32, 160,477.32 and 65,302.52 is: 90,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,289.32 : 160,477.32 = 65,302.52 : x
  2. Step 2: Convert to fraction form
    116,289.32/160,477.32 = 65,302.52/x
  3. Step 3: Cross multiply
    116,289.32x = 160,477.32 × 65,302.52
  4. Step 4: Simplify right side
    116,289.32x = 10,479,573,398.85
  5. Step 5: Solve for x
    x = 10,479,573,398.85/116,289.32
  6. Step 6: Final answer
    x = 90,116.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.