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Finding the Fourth Proportional to 152,890.38, 210,981.51 and 84,911.70

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Solution

The fourth proportional to 152,890.38, 210,981.51 and 84,911.70 is: 117,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,890.38 : 210,981.51 = 84,911.70 : x
  2. Step 2: Convert to fraction form
    152,890.38/210,981.51 = 84,911.70/x
  3. Step 3: Cross multiply
    152,890.38x = 210,981.51 × 84,911.70
  4. Step 4: Simplify right side
    152,890.38x = 17,914,798,682.67
  5. Step 5: Solve for x
    x = 17,914,798,682.67/152,890.38
  6. Step 6: Final answer
    x = 117,174.14

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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.