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Finding the Fourth Proportional to 229,762.95, 316,721.45 and 161,594.16

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Solution

The fourth proportional to 229,762.95, 316,721.45 and 161,594.16 is: 222,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,762.95 : 316,721.45 = 161,594.16 : x
  2. Step 2: Convert to fraction form
    229,762.95/316,721.45 = 161,594.16/x
  3. Step 3: Cross multiply
    229,762.95x = 316,721.45 × 161,594.16
  4. Step 4: Simplify right side
    229,762.95x = 51,180,337,070.72
  5. Step 5: Solve for x
    x = 51,180,337,070.72/229,762.95
  6. Step 6: Final answer
    x = 222,752.79

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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.