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Finding the Fourth Proportional to 295,206.52, 407,384.76 and 161,070.52

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Solution

The fourth proportional to 295,206.52, 407,384.76 and 161,070.52 is: 222,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,206.52 : 407,384.76 = 161,070.52 : x
  2. Step 2: Convert to fraction form
    295,206.52/407,384.76 = 161,070.52/x
  3. Step 3: Cross multiply
    295,206.52x = 407,384.76 × 161,070.52
  4. Step 4: Simplify right side
    295,206.52x = 65,617,675,133.28
  5. Step 5: Solve for x
    x = 65,617,675,133.28/295,206.52
  6. Step 6: Final answer
    x = 222,277.19

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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.