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Finding the Fourth Proportional to 152,045.43, 209,816.51 and 84,058.08

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Solution

The fourth proportional to 152,045.43, 209,816.51 and 84,058.08 is: 115,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,045.43 : 209,816.51 = 84,058.08 : x
  2. Step 2: Convert to fraction form
    152,045.43/209,816.51 = 84,058.08/x
  3. Step 3: Cross multiply
    152,045.43x = 209,816.51 × 84,058.08
  4. Step 4: Simplify right side
    152,045.43x = 17,636,772,562.61
  5. Step 5: Solve for x
    x = 17,636,772,562.61/152,045.43
  6. Step 6: Final answer
    x = 115,996.73

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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.