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Finding the Fourth Proportional to 229,297.66, 316,426.32 and 127,317.82

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Solution

The fourth proportional to 229,297.66, 316,426.32 and 127,317.82 is: 175,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,297.66 : 316,426.32 = 127,317.82 : x
  2. Step 2: Convert to fraction form
    229,297.66/316,426.32 = 127,317.82/x
  3. Step 3: Cross multiply
    229,297.66x = 316,426.32 × 127,317.82
  4. Step 4: Simplify right side
    229,297.66x = 40,286,709,253.02
  5. Step 5: Solve for x
    x = 40,286,709,253.02/229,297.66
  6. Step 6: Final answer
    x = 175,696.12

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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.