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Finding the Fourth Proportional to 214,672.39, 322,030.65 and 56,900.86

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Solution

The fourth proportional to 214,672.39, 322,030.65 and 56,900.86 is: 85,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,672.39 : 322,030.65 = 56,900.86 : x
  2. Step 2: Convert to fraction form
    214,672.39/322,030.65 = 56,900.86/x
  3. Step 3: Cross multiply
    214,672.39x = 322,030.65 × 56,900.86
  4. Step 4: Simplify right side
    214,672.39x = 18,323,820,931.36
  5. Step 5: Solve for x
    x = 18,323,820,931.36/214,672.39
  6. Step 6: Final answer
    x = 85,357.14

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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.