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Finding the Fourth Proportional to 176,473.92, 264,763.68 and 64,152

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Solution

The fourth proportional to 176,473.92, 264,763.68 and 64,152 is: 96,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,473.92 : 264,763.68 = 64,152 : x
  2. Step 2: Convert to fraction form
    176,473.92/264,763.68 = 64,152/x
  3. Step 3: Cross multiply
    176,473.92x = 264,763.68 × 64,152
  4. Step 4: Simplify right side
    176,473.92x = 16,985,119,599.36
  5. Step 5: Solve for x
    x = 16,985,119,599.36/176,473.92
  6. Step 6: Final answer
    x = 96,247.19

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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.