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Finding the Fourth Proportional to 119,548.32, 164,980.08 and 65,837.13

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Solution

The fourth proportional to 119,548.32, 164,980.08 and 65,837.13 is: 90,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,548.32 : 164,980.08 = 65,837.13 : x
  2. Step 2: Convert to fraction form
    119,548.32/164,980.08 = 65,837.13/x
  3. Step 3: Cross multiply
    119,548.32x = 164,980.08 × 65,837.13
  4. Step 4: Simplify right side
    119,548.32x = 10,861,814,974.37
  5. Step 5: Solve for x
    x = 10,861,814,974.37/119,548.32
  6. Step 6: Final answer
    x = 90,857.11

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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.