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Finding the Fourth Proportional to 176,652.10, 264,535.02 and 105,530.86

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Solution

The fourth proportional to 176,652.10, 264,535.02 and 105,530.86 is: 158,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,652.10 : 264,535.02 = 105,530.86 : x
  2. Step 2: Convert to fraction form
    176,652.10/264,535.02 = 105,530.86/x
  3. Step 3: Cross multiply
    176,652.10x = 264,535.02 × 105,530.86
  4. Step 4: Simplify right side
    176,652.10x = 27,916,608,160.72
  5. Step 5: Solve for x
    x = 27,916,608,160.72/176,652.10
  6. Step 6: Final answer
    x = 158,031.57

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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.