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Finding the Fourth Proportional to 176,646.30, 264,623.85 and 106,316.70

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Solution

The fourth proportional to 176,646.30, 264,623.85 and 106,316.70 is: 159,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,646.30 : 264,623.85 = 106,316.70 : x
  2. Step 2: Convert to fraction form
    176,646.30/264,623.85 = 106,316.70/x
  3. Step 3: Cross multiply
    176,646.30x = 264,623.85 × 106,316.70
  4. Step 4: Simplify right side
    176,646.30x = 28,133,934,473.30
  5. Step 5: Solve for x
    x = 28,133,934,473.30/176,646.30
  6. Step 6: Final answer
    x = 159,267.05

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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.