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Finding the Fourth Proportional to 312,088.79, 430,682.38 and 176,151.24

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Solution

The fourth proportional to 312,088.79, 430,682.38 and 176,151.24 is: 243,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,088.79 : 430,682.38 = 176,151.24 : x
  2. Step 2: Convert to fraction form
    312,088.79/430,682.38 = 176,151.24/x
  3. Step 3: Cross multiply
    312,088.79x = 430,682.38 × 176,151.24
  4. Step 4: Simplify right side
    312,088.79x = 75,865,236,457.83
  5. Step 5: Solve for x
    x = 75,865,236,457.83/312,088.79
  6. Step 6: Final answer
    x = 243,088.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.