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Finding the Fourth Proportional to 223,188.30, 308,048.89 and 146,714.46

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Solution

The fourth proportional to 223,188.30, 308,048.89 and 146,714.46 is: 202,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,188.30 : 308,048.89 = 146,714.46 : x
  2. Step 2: Convert to fraction form
    223,188.30/308,048.89 = 146,714.46/x
  3. Step 3: Cross multiply
    223,188.30x = 308,048.89 × 146,714.46
  4. Step 4: Simplify right side
    223,188.30x = 45,195,225,779.83
  5. Step 5: Solve for x
    x = 45,195,225,779.83/223,188.30
  6. Step 6: Final answer
    x = 202,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.