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Finding the Fourth Proportional to 119,203.68, 164,459.72 and 76,208.34

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Solution

The fourth proportional to 119,203.68, 164,459.72 and 76,208.34 is: 105,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,203.68 : 164,459.72 = 76,208.34 : x
  2. Step 2: Convert to fraction form
    119,203.68/164,459.72 = 76,208.34/x
  3. Step 3: Cross multiply
    119,203.68x = 164,459.72 × 76,208.34
  4. Step 4: Simplify right side
    119,203.68x = 12,533,201,942.82
  5. Step 5: Solve for x
    x = 12,533,201,942.82/119,203.68
  6. Step 6: Final answer
    x = 105,141.06

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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.