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Finding the Fourth Proportional to 186,503.40, 279,837.78 and 97,735.80

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Solution

The fourth proportional to 186,503.40, 279,837.78 and 97,735.80 is: 146,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,503.40 : 279,837.78 = 97,735.80 : x
  2. Step 2: Convert to fraction form
    186,503.40/279,837.78 = 97,735.80/x
  3. Step 3: Cross multiply
    186,503.40x = 279,837.78 × 97,735.80
  4. Step 4: Simplify right side
    186,503.40x = 27,350,169,298.52
  5. Step 5: Solve for x
    x = 27,350,169,298.52/186,503.40
  6. Step 6: Final answer
    x = 146,647.03

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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.