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Finding the Fourth Proportional to 210,009.94, 289,807.32 and 114,518.50

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Solution

The fourth proportional to 210,009.94, 289,807.32 and 114,518.50 is: 158,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.94 : 289,807.32 = 114,518.50 : x
  2. Step 2: Convert to fraction form
    210,009.94/289,807.32 = 114,518.50/x
  3. Step 3: Cross multiply
    210,009.94x = 289,807.32 × 114,518.50
  4. Step 4: Simplify right side
    210,009.94x = 33,188,299,575.42
  5. Step 5: Solve for x
    x = 33,188,299,575.42/210,009.94
  6. Step 6: Final answer
    x = 158,032.04

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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.