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Finding the Fourth Proportional to 214,580.66, 321,870.98 and 114,437.46

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Solution

The fourth proportional to 214,580.66, 321,870.98 and 114,437.46 is: 171,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,580.66 : 321,870.98 = 114,437.46 : x
  2. Step 2: Convert to fraction form
    214,580.66/321,870.98 = 114,437.46/x
  3. Step 3: Cross multiply
    214,580.66x = 321,870.98 × 114,437.46
  4. Step 4: Simplify right side
    214,580.66x = 36,834,097,398.91
  5. Step 5: Solve for x
    x = 36,834,097,398.91/214,580.66
  6. Step 6: Final answer
    x = 171,656.18

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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.