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Finding the Fourth Proportional to 229,472.96, 316,718.24 and 146,633.99

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Solution

The fourth proportional to 229,472.96, 316,718.24 and 146,633.99 is: 202,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,472.96 : 316,718.24 = 146,633.99 : x
  2. Step 2: Convert to fraction form
    229,472.96/316,718.24 = 146,633.99/x
  3. Step 3: Cross multiply
    229,472.96x = 316,718.24 × 146,633.99
  4. Step 4: Simplify right side
    229,472.96x = 46,441,656,920.22
  5. Step 5: Solve for x
    x = 46,441,656,920.22/229,472.96
  6. Step 6: Final answer
    x = 202,384.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.