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Finding the Fourth Proportional to 153,087.30, 229,631.04 and 83,409.48

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Solution

The fourth proportional to 153,087.30, 229,631.04 and 83,409.48 is: 125,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,087.30 : 229,631.04 = 83,409.48 : x
  2. Step 2: Convert to fraction form
    153,087.30/229,631.04 = 83,409.48/x
  3. Step 3: Cross multiply
    153,087.30x = 229,631.04 × 83,409.48
  4. Step 4: Simplify right side
    153,087.30x = 19,153,405,638.26
  5. Step 5: Solve for x
    x = 19,153,405,638.26/153,087.30
  6. Step 6: Final answer
    x = 125,114.27

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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.