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Finding the Fourth Proportional to 176,196.70, 264,295.05 and 106,212.70

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Solution

The fourth proportional to 176,196.70, 264,295.05 and 106,212.70 is: 159,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,196.70 : 264,295.05 = 106,212.70 : x
  2. Step 2: Convert to fraction form
    176,196.70/264,295.05 = 106,212.70/x
  3. Step 3: Cross multiply
    176,196.70x = 264,295.05 × 106,212.70
  4. Step 4: Simplify right side
    176,196.70x = 28,071,490,857.14
  5. Step 5: Solve for x
    x = 28,071,490,857.14/176,196.70
  6. Step 6: Final answer
    x = 159,319.05

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1.5x scale

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.