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Finding the Fourth Proportional to 186,131.59, 278,492.84 and 110,270.86

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Solution

The fourth proportional to 186,131.59, 278,492.84 and 110,270.86 is: 164,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,131.59 : 278,492.84 = 110,270.86 : x
  2. Step 2: Convert to fraction form
    186,131.59/278,492.84 = 110,270.86/x
  3. Step 3: Cross multiply
    186,131.59x = 278,492.84 × 110,270.86
  4. Step 4: Simplify right side
    186,131.59x = 30,709,644,970.64
  5. Step 5: Solve for x
    x = 30,709,644,970.64/186,131.59
  6. Step 6: Final answer
    x = 164,988.89

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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.