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Finding the Fourth Proportional to 186,503.94, 279,838.61 and 97,736.34

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Solution

The fourth proportional to 186,503.94, 279,838.61 and 97,736.34 is: 146,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,503.94 : 279,838.61 = 97,736.34 : x
  2. Step 2: Convert to fraction form
    186,503.94/279,838.61 = 97,736.34/x
  3. Step 3: Cross multiply
    186,503.94x = 279,838.61 × 97,736.34
  4. Step 4: Simplify right side
    186,503.94x = 27,350,402,092.80
  5. Step 5: Solve for x
    x = 27,350,402,092.80/186,503.94
  6. Step 6: Final answer
    x = 146,647.85

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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.