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Finding the Fourth Proportional to 176,543.80, 264,470.10 and 106,214.20

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Solution

The fourth proportional to 176,543.80, 264,470.10 and 106,214.20 is: 159,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,543.80 : 264,470.10 = 106,214.20 : x
  2. Step 2: Convert to fraction form
    176,543.80/264,470.10 = 106,214.20/x
  3. Step 3: Cross multiply
    176,543.80x = 264,470.10 × 106,214.20
  4. Step 4: Simplify right side
    176,543.80x = 28,090,480,095.42
  5. Step 5: Solve for x
    x = 28,090,480,095.42/176,543.80
  6. Step 6: Final answer
    x = 159,113.38

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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.