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Finding the Fourth Proportional to 302,264.59, 417,125.10 and 166,295.61

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Solution

The fourth proportional to 302,264.59, 417,125.10 and 166,295.61 is: 229,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,264.59 : 417,125.10 = 166,295.61 : x
  2. Step 2: Convert to fraction form
    302,264.59/417,125.10 = 166,295.61/x
  3. Step 3: Cross multiply
    302,264.59x = 417,125.10 × 166,295.61
  4. Step 4: Simplify right side
    302,264.59x = 69,366,072,950.81
  5. Step 5: Solve for x
    x = 69,366,072,950.81/302,264.59
  6. Step 6: Final answer
    x = 229,487.92

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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.