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Finding the Fourth Proportional to 130,046.46, 178,774.73 and 111,830.37

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Solution

The fourth proportional to 130,046.46, 178,774.73 and 111,830.37 is: 153,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,046.46 : 178,774.73 = 111,830.37 : x
  2. Step 2: Convert to fraction form
    130,046.46/178,774.73 = 111,830.37/x
  3. Step 3: Cross multiply
    130,046.46x = 178,774.73 × 111,830.37
  4. Step 4: Simplify right side
    130,046.46x = 19,992,443,643.40
  5. Step 5: Solve for x
    x = 19,992,443,643.40/130,046.46
  6. Step 6: Final answer
    x = 153,733.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.