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Finding the Fourth Proportional to 116,959.63, 161,392.18 and 86,349.01

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Solution

The fourth proportional to 116,959.63, 161,392.18 and 86,349.01 is: 119,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,959.63 : 161,392.18 = 86,349.01 : x
  2. Step 2: Convert to fraction form
    116,959.63/161,392.18 = 86,349.01/x
  3. Step 3: Cross multiply
    116,959.63x = 161,392.18 × 86,349.01
  4. Step 4: Simplify right side
    116,959.63x = 13,936,054,964.74
  5. Step 5: Solve for x
    x = 13,936,054,964.74/116,959.63
  6. Step 6: Final answer
    x = 119,152.69

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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.