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Finding the Fourth Proportional to 153,507.92, 229,928.58 and 74,456

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Solution

The fourth proportional to 153,507.92, 229,928.58 and 74,456 is: 111,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,507.92 : 229,928.58 = 74,456 : x
  2. Step 2: Convert to fraction form
    153,507.92/229,928.58 = 74,456/x
  3. Step 3: Cross multiply
    153,507.92x = 229,928.58 × 74,456
  4. Step 4: Simplify right side
    153,507.92x = 17,119,562,352.48
  5. Step 5: Solve for x
    x = 17,119,562,352.48/153,507.92
  6. Step 6: Final answer
    x = 111,522.34

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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.