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Finding the Fourth Proportional to 186,641.60, 279,962.40 and 102,369.20

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Solution

The fourth proportional to 186,641.60, 279,962.40 and 102,369.20 is: 153,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,641.60 : 279,962.40 = 102,369.20 : x
  2. Step 2: Convert to fraction form
    186,641.60/279,962.40 = 102,369.20/x
  3. Step 3: Cross multiply
    186,641.60x = 279,962.40 × 102,369.20
  4. Step 4: Simplify right side
    186,641.60x = 28,659,526,918.08
  5. Step 5: Solve for x
    x = 28,659,526,918.08/186,641.60
  6. Step 6: Final answer
    x = 153,553.80

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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.