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Finding the Fourth Proportional to 221,656.17, 305,897.33 and 126,193.62

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Solution

The fourth proportional to 221,656.17, 305,897.33 and 126,193.62 is: 174,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,656.17 : 305,897.33 = 126,193.62 : x
  2. Step 2: Convert to fraction form
    221,656.17/305,897.33 = 126,193.62/x
  3. Step 3: Cross multiply
    221,656.17x = 305,897.33 × 126,193.62
  4. Step 4: Simplify right side
    221,656.17x = 38,602,291,421.03
  5. Step 5: Solve for x
    x = 38,602,291,421.03/221,656.17
  6. Step 6: Final answer
    x = 174,153.92

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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.