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Finding the Fourth Proportional to 186,470.96, 279,714.12 and 97,674.80

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Solution

The fourth proportional to 186,470.96, 279,714.12 and 97,674.80 is: 146,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,470.96 : 279,714.12 = 97,674.80 : x
  2. Step 2: Convert to fraction form
    186,470.96/279,714.12 = 97,674.80/x
  3. Step 3: Cross multiply
    186,470.96x = 279,714.12 × 97,674.80
  4. Step 4: Simplify right side
    186,470.96x = 27,321,020,728.18
  5. Step 5: Solve for x
    x = 27,321,020,728.18/186,470.96
  6. Step 6: Final answer
    x = 146,516.22

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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.