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Finding the Fourth Proportional to 312,118.86, 430,725.52 and 176,158.52

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Solution

The fourth proportional to 312,118.86, 430,725.52 and 176,158.52 is: 243,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,118.86 : 430,725.52 = 176,158.52 : x
  2. Step 2: Convert to fraction form
    312,118.86/430,725.52 = 176,158.52/x
  3. Step 3: Cross multiply
    312,118.86x = 430,725.52 × 176,158.52
  4. Step 4: Simplify right side
    312,118.86x = 75,875,970,129.43
  5. Step 5: Solve for x
    x = 75,875,970,129.43/312,118.86
  6. Step 6: Final answer
    x = 243,099.60

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1.5x scale

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.