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Finding the Fourth Proportional to 210,542.34, 290,465.94 and 129,829.74

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Solution

The fourth proportional to 210,542.34, 290,465.94 and 129,829.74 is: 179,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,542.34 : 290,465.94 = 129,829.74 : x
  2. Step 2: Convert to fraction form
    210,542.34/290,465.94 = 129,829.74/x
  3. Step 3: Cross multiply
    210,542.34x = 290,465.94 × 129,829.74
  4. Step 4: Simplify right side
    210,542.34x = 37,711,117,469.06
  5. Step 5: Solve for x
    x = 37,711,117,469.06/210,542.34
  6. Step 6: Final answer
    x = 179,114.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.