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Finding the Fourth Proportional to 119,483.40, 164,893.02 and 65,767.86

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Solution

The fourth proportional to 119,483.40, 164,893.02 and 65,767.86 is: 90,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,483.40 : 164,893.02 = 65,767.86 : x
  2. Step 2: Convert to fraction form
    119,483.40/164,893.02 = 65,767.86/x
  3. Step 3: Cross multiply
    119,483.40x = 164,893.02 × 65,767.86
  4. Step 4: Simplify right side
    119,483.40x = 10,844,661,054.34
  5. Step 5: Solve for x
    x = 10,844,661,054.34/119,483.40
  6. Step 6: Final answer
    x = 90,762.91

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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.