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Finding the Fourth Proportional to 214,895.84, 322,402.07 and 65,141.01

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Solution

The fourth proportional to 214,895.84, 322,402.07 and 65,141.01 is: 97,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,895.84 : 322,402.07 = 65,141.01 : x
  2. Step 2: Convert to fraction form
    214,895.84/322,402.07 = 65,141.01/x
  3. Step 3: Cross multiply
    214,895.84x = 322,402.07 × 65,141.01
  4. Step 4: Simplify right side
    214,895.84x = 21,001,596,628.74
  5. Step 5: Solve for x
    x = 21,001,596,628.74/214,895.84
  6. Step 6: Final answer
    x = 97,729.19

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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.