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Finding the Fourth Proportional to 217,894.32, 300,715.92 and 146,423.16

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Solution

The fourth proportional to 217,894.32, 300,715.92 and 146,423.16 is: 202,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,894.32 : 300,715.92 = 146,423.16 : x
  2. Step 2: Convert to fraction form
    217,894.32/300,715.92 = 146,423.16/x
  3. Step 3: Cross multiply
    217,894.32x = 300,715.92 × 146,423.16
  4. Step 4: Simplify right side
    217,894.32x = 44,031,775,268.71
  5. Step 5: Solve for x
    x = 44,031,775,268.71/217,894.32
  6. Step 6: Final answer
    x = 202,078.58

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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.