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Finding the Fourth Proportional to 214,547.84, 296,052 and 119,058.56

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Solution

The fourth proportional to 214,547.84, 296,052 and 119,058.56 is: 164,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,547.84 : 296,052 = 119,058.56 : x
  2. Step 2: Convert to fraction form
    214,547.84/296,052 = 119,058.56/x
  3. Step 3: Cross multiply
    214,547.84x = 296,052 × 119,058.56
  4. Step 4: Simplify right side
    214,547.84x = 35,247,524,805.12
  5. Step 5: Solve for x
    x = 35,247,524,805.12/214,547.84
  6. Step 6: Final answer
    x = 164,287.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.