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Finding the Fourth Proportional to 152,045.81, 209,817.02 and 84,058.46

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Solution

The fourth proportional to 152,045.81, 209,817.02 and 84,058.46 is: 115,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,045.81 : 209,817.02 = 84,058.46 : x
  2. Step 2: Convert to fraction form
    152,045.81/209,817.02 = 84,058.46/x
  3. Step 3: Cross multiply
    152,045.81x = 209,817.02 × 84,058.46
  4. Step 4: Simplify right side
    152,045.81x = 17,636,894,744.05
  5. Step 5: Solve for x
    x = 17,636,894,744.05/152,045.81
  6. Step 6: Final answer
    x = 115,997.25

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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.