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Finding the Fourth Proportional to 210,476, 290,476.86 and 114,997.08

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Solution

The fourth proportional to 210,476, 290,476.86 and 114,997.08 is: 158,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,476 : 290,476.86 = 114,997.08 : x
  2. Step 2: Convert to fraction form
    210,476/290,476.86 = 114,997.08/x
  3. Step 3: Cross multiply
    210,476x = 290,476.86 × 114,997.08
  4. Step 4: Simplify right side
    210,476x = 33,403,990,707.57
  5. Step 5: Solve for x
    x = 33,403,990,707.57/210,476
  6. Step 6: Final answer
    x = 158,706.89

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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.