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Finding the Fourth Proportional to 210,009.08, 289,834.72 and 128,385.11

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Solution

The fourth proportional to 210,009.08, 289,834.72 and 128,385.11 is: 177,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.08 : 289,834.72 = 128,385.11 : x
  2. Step 2: Convert to fraction form
    210,009.08/289,834.72 = 128,385.11/x
  3. Step 3: Cross multiply
    210,009.08x = 289,834.72 × 128,385.11
  4. Step 4: Simplify right side
    210,009.08x = 37,210,462,409.02
  5. Step 5: Solve for x
    x = 37,210,462,409.02/210,009.08
  6. Step 6: Final answer
    x = 177,185.02

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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.