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Finding the Fourth Proportional to 119,842, 164,993.28 and 94,303.36

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Solution

The fourth proportional to 119,842, 164,993.28 and 94,303.36 is: 129,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,842 : 164,993.28 = 94,303.36 : x
  2. Step 2: Convert to fraction form
    119,842/164,993.28 = 94,303.36/x
  3. Step 3: Cross multiply
    119,842x = 164,993.28 × 94,303.36
  4. Step 4: Simplify right side
    119,842x = 15,559,420,681.42
  5. Step 5: Solve for x
    x = 15,559,420,681.42/119,842
  6. Step 6: Final answer
    x = 129,832.79

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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.