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Finding the Fourth Proportional to 214,521.84, 296,040.14 and 119,029.22

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Solution

The fourth proportional to 214,521.84, 296,040.14 and 119,029.22 is: 164,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,521.84 : 296,040.14 = 119,029.22 : x
  2. Step 2: Convert to fraction form
    214,521.84/296,040.14 = 119,029.22/x
  3. Step 3: Cross multiply
    214,521.84x = 296,040.14 × 119,029.22
  4. Step 4: Simplify right side
    214,521.84x = 35,237,426,952.89
  5. Step 5: Solve for x
    x = 35,237,426,952.89/214,521.84
  6. Step 6: Final answer
    x = 164,260.32

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1.5x scale

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.