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Finding the Fourth Proportional to 284,072.79, 426,077.73 and 101,696.34

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Solution

The fourth proportional to 284,072.79, 426,077.73 and 101,696.34 is: 152,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,072.79 : 426,077.73 = 101,696.34 : x
  2. Step 2: Convert to fraction form
    284,072.79/426,077.73 = 101,696.34/x
  3. Step 3: Cross multiply
    284,072.79x = 426,077.73 × 101,696.34
  4. Step 4: Simplify right side
    284,072.79x = 43,330,545,696.51
  5. Step 5: Solve for x
    x = 43,330,545,696.51/284,072.79
  6. Step 6: Final answer
    x = 152,533.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.