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Finding the Fourth Proportional to 210,034.18, 289,869.65 and 128,410.32

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Solution

The fourth proportional to 210,034.18, 289,869.65 and 128,410.32 is: 177,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,034.18 : 289,869.65 = 128,410.32 : x
  2. Step 2: Convert to fraction form
    210,034.18/289,869.65 = 128,410.32/x
  3. Step 3: Cross multiply
    210,034.18x = 289,869.65 × 128,410.32
  4. Step 4: Simplify right side
    210,034.18x = 37,222,254,597.41
  5. Step 5: Solve for x
    x = 37,222,254,597.41/210,034.18
  6. Step 6: Final answer
    x = 177,219.99

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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.