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Finding the Fourth Proportional to 203,411.94, 280,608.75 and 176,516.70

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Solution

The fourth proportional to 203,411.94, 280,608.75 and 176,516.70 is: 243,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411.94 : 280,608.75 = 176,516.70 : x
  2. Step 2: Convert to fraction form
    203,411.94/280,608.75 = 176,516.70/x
  3. Step 3: Cross multiply
    203,411.94x = 280,608.75 × 176,516.70
  4. Step 4: Simplify right side
    203,411.94x = 49,532,130,541.13
  5. Step 5: Solve for x
    x = 49,532,130,541.13/203,411.94
  6. Step 6: Final answer
    x = 243,506.50

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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.