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Finding the Fourth Proportional to 144,172.62, 198,949.95 and 86,094.87

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Solution

The fourth proportional to 144,172.62, 198,949.95 and 86,094.87 is: 118,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,172.62 : 198,949.95 = 86,094.87 : x
  2. Step 2: Convert to fraction form
    144,172.62/198,949.95 = 86,094.87/x
  3. Step 3: Cross multiply
    144,172.62x = 198,949.95 × 86,094.87
  4. Step 4: Simplify right side
    144,172.62x = 17,128,570,081.76
  5. Step 5: Solve for x
    x = 17,128,570,081.76/144,172.62
  6. Step 6: Final answer
    x = 118,805.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.