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Finding the Fourth Proportional to 186,470.70, 279,706.05 and 156,946.20

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Solution

The fourth proportional to 186,470.70, 279,706.05 and 156,946.20 is: 235,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,470.70 : 279,706.05 = 156,946.20 : x
  2. Step 2: Convert to fraction form
    186,470.70/279,706.05 = 156,946.20/x
  3. Step 3: Cross multiply
    186,470.70x = 279,706.05 × 156,946.20
  4. Step 4: Simplify right side
    186,470.70x = 43,898,801,664.51
  5. Step 5: Solve for x
    x = 43,898,801,664.51/186,470.70
  6. Step 6: Final answer
    x = 235,419.30

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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.