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Finding the Fourth Proportional to 119,659.08, 165,130.65 and 65,946.06

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Solution

The fourth proportional to 119,659.08, 165,130.65 and 65,946.06 is: 91,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,659.08 : 165,130.65 = 65,946.06 : x
  2. Step 2: Convert to fraction form
    119,659.08/165,130.65 = 65,946.06/x
  3. Step 3: Cross multiply
    119,659.08x = 165,130.65 × 65,946.06
  4. Step 4: Simplify right side
    119,659.08x = 10,889,715,752.74
  5. Step 5: Solve for x
    x = 10,889,715,752.74/119,659.08
  6. Step 6: Final answer
    x = 91,006.18

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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.