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Finding the Fourth Proportional to 163,321.30, 224,916.74 and 147,050.02

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Solution

The fourth proportional to 163,321.30, 224,916.74 and 147,050.02 is: 202,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,321.30 : 224,916.74 = 147,050.02 : x
  2. Step 2: Convert to fraction form
    163,321.30/224,916.74 = 147,050.02/x
  3. Step 3: Cross multiply
    163,321.30x = 224,916.74 × 147,050.02
  4. Step 4: Simplify right side
    163,321.30x = 33,074,011,115.33
  5. Step 5: Solve for x
    x = 33,074,011,115.33/163,321.30
  6. Step 6: Final answer
    x = 202,508.87

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Why These Related Problems?

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