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Finding the Fourth Proportional to 210,134.96, 289,985.88 and 114,641.66

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Solution

The fourth proportional to 210,134.96, 289,985.88 and 114,641.66 is: 158,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,134.96 : 289,985.88 = 114,641.66 : x
  2. Step 2: Convert to fraction form
    210,134.96/289,985.88 = 114,641.66/x
  3. Step 3: Cross multiply
    210,134.96x = 289,985.88 × 114,641.66
  4. Step 4: Simplify right side
    210,134.96x = 33,244,462,659.76
  5. Step 5: Solve for x
    x = 33,244,462,659.76/210,134.96
  6. Step 6: Final answer
    x = 158,205.29

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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.