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Finding the Fourth Proportional to 210,025.72, 289,835.51 and 114,533.10

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Solution

The fourth proportional to 210,025.72, 289,835.51 and 114,533.10 is: 158,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,025.72 : 289,835.51 = 114,533.10 : x
  2. Step 2: Convert to fraction form
    210,025.72/289,835.51 = 114,533.10/x
  3. Step 3: Cross multiply
    210,025.72x = 289,835.51 × 114,533.10
  4. Step 4: Simplify right side
    210,025.72x = 33,195,759,450.38
  5. Step 5: Solve for x
    x = 33,195,759,450.38/210,025.72
  6. Step 6: Final answer
    x = 158,055.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.