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Finding the Fourth Proportional to 294,304, 406,139.52 and 160,168.96

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Solution

The fourth proportional to 294,304, 406,139.52 and 160,168.96 is: 221,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,304 : 406,139.52 = 160,168.96 : x
  2. Step 2: Convert to fraction form
    294,304/406,139.52 = 160,168.96/x
  3. Step 3: Cross multiply
    294,304x = 406,139.52 × 160,168.96
  4. Step 4: Simplify right side
    294,304x = 65,050,944,533.30
  5. Step 5: Solve for x
    x = 65,050,944,533.30/294,304
  6. Step 6: Final answer
    x = 221,033.16

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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.