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Finding the Fourth Proportional to 152,035.70, 209,805.81 and 84,967.70

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Solution

The fourth proportional to 152,035.70, 209,805.81 and 84,967.70 is: 117,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,035.70 : 209,805.81 = 84,967.70 : x
  2. Step 2: Convert to fraction form
    152,035.70/209,805.81 = 84,967.70/x
  3. Step 3: Cross multiply
    152,035.70x = 209,805.81 × 84,967.70
  4. Step 4: Simplify right side
    152,035.70x = 17,826,717,122.34
  5. Step 5: Solve for x
    x = 17,826,717,122.34/152,035.70
  6. Step 6: Final answer
    x = 117,253.49

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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.