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Finding the Fourth Proportional to 214,632.40, 322,094.40 and 119,862.40

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Solution

The fourth proportional to 214,632.40, 322,094.40 and 119,862.40 is: 179,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,632.40 : 322,094.40 = 119,862.40 : x
  2. Step 2: Convert to fraction form
    214,632.40/322,094.40 = 119,862.40/x
  3. Step 3: Cross multiply
    214,632.40x = 322,094.40 × 119,862.40
  4. Step 4: Simplify right side
    214,632.40x = 38,607,007,810.56
  5. Step 5: Solve for x
    x = 38,607,007,810.56/214,632.40
  6. Step 6: Final answer
    x = 179,875.02

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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.