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Finding the Fourth Proportional to 152,805.86, 210,862.07 and 84,819.52

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Solution

The fourth proportional to 152,805.86, 210,862.07 and 84,819.52 is: 117,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,805.86 : 210,862.07 = 84,819.52 : x
  2. Step 2: Convert to fraction form
    152,805.86/210,862.07 = 84,819.52/x
  3. Step 3: Cross multiply
    152,805.86x = 210,862.07 × 84,819.52
  4. Step 4: Simplify right side
    152,805.86x = 17,885,219,721.16
  5. Step 5: Solve for x
    x = 17,885,219,721.16/152,805.86
  6. Step 6: Final answer
    x = 117,045.38

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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.