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Finding the Fourth Proportional to 127,495.71, 175,981.14 and 85,054.14

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Solution

The fourth proportional to 127,495.71, 175,981.14 and 85,054.14 is: 117,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,495.71 : 175,981.14 = 85,054.14 : x
  2. Step 2: Convert to fraction form
    127,495.71/175,981.14 = 85,054.14/x
  3. Step 3: Cross multiply
    127,495.71x = 175,981.14 × 85,054.14
  4. Step 4: Simplify right side
    127,495.71x = 14,967,924,518.92
  5. Step 5: Solve for x
    x = 14,967,924,518.92/127,495.71
  6. Step 6: Final answer
    x = 117,399.44

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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.