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Finding the Fourth Proportional to 119,117.58, 164,382.58 and 65,406.06

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Solution

The fourth proportional to 119,117.58, 164,382.58 and 65,406.06 is: 90,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,117.58 : 164,382.58 = 65,406.06 : x
  2. Step 2: Convert to fraction form
    119,117.58/164,382.58 = 65,406.06/x
  3. Step 3: Cross multiply
    119,117.58x = 164,382.58 × 65,406.06
  4. Step 4: Simplify right side
    119,117.58x = 10,751,616,890.43
  5. Step 5: Solve for x
    x = 10,751,616,890.43/119,117.58
  6. Step 6: Final answer
    x = 90,260.54

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1.5x scale

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.