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Finding the Fourth Proportional to 232,521, 348,833.34 and 84,777

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Solution

The fourth proportional to 232,521, 348,833.34 and 84,777 is: 127,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,521 : 348,833.34 = 84,777 : x
  2. Step 2: Convert to fraction form
    232,521/348,833.34 = 84,777/x
  3. Step 3: Cross multiply
    232,521x = 348,833.34 × 84,777
  4. Step 4: Simplify right side
    232,521x = 29,573,044,065.18
  5. Step 5: Solve for x
    x = 29,573,044,065.18/232,521
  6. Step 6: Final answer
    x = 127,184.40

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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.