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Finding the Fourth Proportional to 285,143.06, 393,595.74 and 164,332.58

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Solution

The fourth proportional to 285,143.06, 393,595.74 and 164,332.58 is: 226,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,143.06 : 393,595.74 = 164,332.58 : x
  2. Step 2: Convert to fraction form
    285,143.06/393,595.74 = 164,332.58/x
  3. Step 3: Cross multiply
    285,143.06x = 393,595.74 × 164,332.58
  4. Step 4: Simplify right side
    285,143.06x = 64,680,603,431.21
  5. Step 5: Solve for x
    x = 64,680,603,431.21/285,143.06
  6. Step 6: Final answer
    x = 226,835.62

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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.