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Finding the Fourth Proportional to 229,476.71, 316,723.41 and 146,637.74

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Solution

The fourth proportional to 229,476.71, 316,723.41 and 146,637.74 is: 202,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,476.71 : 316,723.41 = 146,637.74 : x
  2. Step 2: Convert to fraction form
    229,476.71/316,723.41 = 146,637.74/x
  3. Step 3: Cross multiply
    229,476.71x = 316,723.41 × 146,637.74
  4. Step 4: Simplify right side
    229,476.71x = 46,443,603,463.88
  5. Step 5: Solve for x
    x = 46,443,603,463.88/229,476.71
  6. Step 6: Final answer
    x = 202,389.19

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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.