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Finding the Fourth Proportional to 212,871.74, 293,457.71 and 167,470.89

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Solution

The fourth proportional to 212,871.74, 293,457.71 and 167,470.89 is: 230,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,871.74 : 293,457.71 = 167,470.89 : x
  2. Step 2: Convert to fraction form
    212,871.74/293,457.71 = 167,470.89/x
  3. Step 3: Cross multiply
    212,871.74x = 293,457.71 × 167,470.89
  4. Step 4: Simplify right side
    212,871.74x = 49,145,623,033.71
  5. Step 5: Solve for x
    x = 49,145,623,033.71/212,871.74
  6. Step 6: Final answer
    x = 230,869.65

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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.