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Finding the Fourth Proportional to 307,106.16, 423,788.98 and 169,257.71

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Solution

The fourth proportional to 307,106.16, 423,788.98 and 169,257.71 is: 233,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,106.16 : 423,788.98 = 169,257.71 : x
  2. Step 2: Convert to fraction form
    307,106.16/423,788.98 = 169,257.71/x
  3. Step 3: Cross multiply
    307,106.16x = 423,788.98 × 169,257.71
  4. Step 4: Simplify right side
    307,106.16x = 71,729,552,278.04
  5. Step 5: Solve for x
    x = 71,729,552,278.04/307,106.16
  6. Step 6: Final answer
    x = 233,565.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.