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Finding the Fourth Proportional to 223,456.40, 335,184.60 and 156,971.60

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Solution

The fourth proportional to 223,456.40, 335,184.60 and 156,971.60 is: 235,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,456.40 : 335,184.60 = 156,971.60 : x
  2. Step 2: Convert to fraction form
    223,456.40/335,184.60 = 156,971.60/x
  3. Step 3: Cross multiply
    223,456.40x = 335,184.60 × 156,971.60
  4. Step 4: Simplify right side
    223,456.40x = 52,614,462,957.36
  5. Step 5: Solve for x
    x = 52,614,462,957.36/223,456.40
  6. Step 6: Final answer
    x = 235,457.40

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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.