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Finding the Fourth Proportional to 229,151.62, 316,296.66 and 148,584.16

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Solution

The fourth proportional to 229,151.62, 316,296.66 and 148,584.16 is: 205,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151.62 : 316,296.66 = 148,584.16 : x
  2. Step 2: Convert to fraction form
    229,151.62/316,296.66 = 148,584.16/x
  3. Step 3: Cross multiply
    229,151.62x = 316,296.66 × 148,584.16
  4. Step 4: Simplify right side
    229,151.62x = 46,996,673,536.91
  5. Step 5: Solve for x
    x = 46,996,673,536.91/229,151.62
  6. Step 6: Final answer
    x = 205,089.86

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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.