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Finding the Fourth Proportional to 176,417.21, 264,716.37 and 86,458.23

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Solution

The fourth proportional to 176,417.21, 264,716.37 and 86,458.23 is: 129,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,417.21 : 264,716.37 = 86,458.23 : x
  2. Step 2: Convert to fraction form
    176,417.21/264,716.37 = 86,458.23/x
  3. Step 3: Cross multiply
    176,417.21x = 264,716.37 × 86,458.23
  4. Step 4: Simplify right side
    176,417.21x = 22,886,908,802.23
  5. Step 5: Solve for x
    x = 22,886,908,802.23/176,417.21
  6. Step 6: Final answer
    x = 129,731.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.