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Finding the Fourth Proportional to 229,063.96, 343,429.80 and 153,998.02

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Solution

The fourth proportional to 229,063.96, 343,429.80 and 153,998.02 is: 230,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,063.96 : 343,429.80 = 153,998.02 : x
  2. Step 2: Convert to fraction form
    229,063.96/343,429.80 = 153,998.02/x
  3. Step 3: Cross multiply
    229,063.96x = 343,429.80 × 153,998.02
  4. Step 4: Simplify right side
    229,063.96x = 52,887,509,209.00
  5. Step 5: Solve for x
    x = 52,887,509,209.00/229,063.96
  6. Step 6: Final answer
    x = 230,885.34

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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.