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Finding the Fourth Proportional to 186,007.60, 279,097.80 and 97,361.20

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Solution

The fourth proportional to 186,007.60, 279,097.80 and 97,361.20 is: 146,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,007.60 : 279,097.80 = 97,361.20 : x
  2. Step 2: Convert to fraction form
    186,007.60/279,097.80 = 97,361.20/x
  3. Step 3: Cross multiply
    186,007.60x = 279,097.80 × 97,361.20
  4. Step 4: Simplify right side
    186,007.60x = 27,173,296,725.36
  5. Step 5: Solve for x
    x = 27,173,296,725.36/186,007.60
  6. Step 6: Final answer
    x = 146,087.02

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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.