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Finding the Fourth Proportional to 229,439.94, 316,631.10 and 133,950.66

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Solution

The fourth proportional to 229,439.94, 316,631.10 and 133,950.66 is: 184,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,439.94 : 316,631.10 = 133,950.66 : x
  2. Step 2: Convert to fraction form
    229,439.94/316,631.10 = 133,950.66/x
  3. Step 3: Cross multiply
    229,439.94x = 316,631.10 × 133,950.66
  4. Step 4: Simplify right side
    229,439.94x = 42,412,944,821.53
  5. Step 5: Solve for x
    x = 42,412,944,821.53/229,439.94
  6. Step 6: Final answer
    x = 184,854.24

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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.