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Finding the Fourth Proportional to 563,208.51, 844,818.10 and 136,748.14

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Solution

The fourth proportional to 563,208.51, 844,818.10 and 136,748.14 is: 205,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,208.51 : 844,818.10 = 136,748.14 : x
  2. Step 2: Convert to fraction form
    563,208.51/844,818.10 = 136,748.14/x
  3. Step 3: Cross multiply
    563,208.51x = 844,818.10 × 136,748.14
  4. Step 4: Simplify right side
    563,208.51x = 115,527,303,813.33
  5. Step 5: Solve for x
    x = 115,527,303,813.33/563,208.51
  6. Step 6: Final answer
    x = 205,123.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.