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Finding the Fourth Proportional to 272,461.84, 375,964.32 and 151,574.56

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Solution

The fourth proportional to 272,461.84, 375,964.32 and 151,574.56 is: 209,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,461.84 : 375,964.32 = 151,574.56 : x
  2. Step 2: Convert to fraction form
    272,461.84/375,964.32 = 151,574.56/x
  3. Step 3: Cross multiply
    272,461.84x = 375,964.32 × 151,574.56
  4. Step 4: Simplify right side
    272,461.84x = 56,986,626,379.70
  5. Step 5: Solve for x
    x = 56,986,626,379.70/272,461.84
  6. Step 6: Final answer
    x = 209,154.52

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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.