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Finding the Fourth Proportional to 214,157.16, 321,210.23 and 56,397.92

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Solution

The fourth proportional to 214,157.16, 321,210.23 and 56,397.92 is: 84,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,157.16 : 321,210.23 = 56,397.92 : x
  2. Step 2: Convert to fraction form
    214,157.16/321,210.23 = 56,397.92/x
  3. Step 3: Cross multiply
    214,157.16x = 321,210.23 × 56,397.92
  4. Step 4: Simplify right side
    214,157.16x = 18,115,586,966.68
  5. Step 5: Solve for x
    x = 18,115,586,966.68/214,157.16
  6. Step 6: Final answer
    x = 84,590.15

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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.