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Finding the Fourth Proportional to 229,411.82, 316,499.99 and 169,125.81

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Solution

The fourth proportional to 229,411.82, 316,499.99 and 169,125.81 is: 233,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,411.82 : 316,499.99 = 169,125.81 : x
  2. Step 2: Convert to fraction form
    229,411.82/316,499.99 = 169,125.81/x
  3. Step 3: Cross multiply
    229,411.82x = 316,499.99 × 169,125.81
  4. Step 4: Simplify right side
    229,411.82x = 53,528,316,328.11
  5. Step 5: Solve for x
    x = 53,528,316,328.11/229,411.82
  6. Step 6: Final answer
    x = 233,328.51

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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.