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Finding the Fourth Proportional to 186,142.44, 279,374.88 and 97,458

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Solution

The fourth proportional to 186,142.44, 279,374.88 and 97,458 is: 146,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,142.44 : 279,374.88 = 97,458 : x
  2. Step 2: Convert to fraction form
    186,142.44/279,374.88 = 97,458/x
  3. Step 3: Cross multiply
    186,142.44x = 279,374.88 × 97,458
  4. Step 4: Simplify right side
    186,142.44x = 27,227,317,055.04
  5. Step 5: Solve for x
    x = 27,227,317,055.04/186,142.44
  6. Step 6: Final answer
    x = 146,271.41

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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.