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Finding the Fourth Proportional to 175,269.64, 262,931.10 and 64,453

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Solution

The fourth proportional to 175,269.64, 262,931.10 and 64,453 is: 96,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,269.64 : 262,931.10 = 64,453 : x
  2. Step 2: Convert to fraction form
    175,269.64/262,931.10 = 64,453/x
  3. Step 3: Cross multiply
    175,269.64x = 262,931.10 × 64,453
  4. Step 4: Simplify right side
    175,269.64x = 16,946,698,188.30
  5. Step 5: Solve for x
    x = 16,946,698,188.30/175,269.64
  6. Step 6: Final answer
    x = 96,689.30

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Why These Related Problems?

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