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Finding the Fourth Proportional to 119,962.41, 165,362.88 and 86,009.23

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Solution

The fourth proportional to 119,962.41, 165,362.88 and 86,009.23 is: 118,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,962.41 : 165,362.88 = 86,009.23 : x
  2. Step 2: Convert to fraction form
    119,962.41/165,362.88 = 86,009.23/x
  3. Step 3: Cross multiply
    119,962.41x = 165,362.88 × 86,009.23
  4. Step 4: Simplify right side
    119,962.41x = 14,222,733,979.38
  5. Step 5: Solve for x
    x = 14,222,733,979.38/119,962.41
  6. Step 6: Final answer
    x = 118,559.92

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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.