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Finding the Fourth Proportional to 210,498.93, 290,492.33 and 115,009.65

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Solution

The fourth proportional to 210,498.93, 290,492.33 and 115,009.65 is: 158,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,498.93 : 290,492.33 = 115,009.65 : x
  2. Step 2: Convert to fraction form
    210,498.93/290,492.33 = 115,009.65/x
  3. Step 3: Cross multiply
    210,498.93x = 290,492.33 × 115,009.65
  4. Step 4: Simplify right side
    210,498.93x = 33,409,420,625.94
  5. Step 5: Solve for x
    x = 33,409,420,625.94/210,498.93
  6. Step 6: Final answer
    x = 158,715.39

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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.