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Finding the Fourth Proportional to 214,672.86, 296,145.63 and 151,045.74

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Solution

The fourth proportional to 214,672.86, 296,145.63 and 151,045.74 is: 208,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,672.86 : 296,145.63 = 151,045.74 : x
  2. Step 2: Convert to fraction form
    214,672.86/296,145.63 = 151,045.74/x
  3. Step 3: Cross multiply
    214,672.86x = 296,145.63 × 151,045.74
  4. Step 4: Simplify right side
    214,672.86x = 44,731,535,831.12
  5. Step 5: Solve for x
    x = 44,731,535,831.12/214,672.86
  6. Step 6: Final answer
    x = 208,370.71

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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.