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Finding the Fourth Proportional to 242,703.29, 363,769.00 and 109,427.51

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Solution

The fourth proportional to 242,703.29, 363,769.00 and 109,427.51 is: 164,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,703.29 : 363,769.00 = 109,427.51 : x
  2. Step 2: Convert to fraction form
    242,703.29/363,769.00 = 109,427.51/x
  3. Step 3: Cross multiply
    242,703.29x = 363,769.00 × 109,427.51
  4. Step 4: Simplify right side
    242,703.29x = 39,806,336,521.04
  5. Step 5: Solve for x
    x = 39,806,336,521.04/242,703.29
  6. Step 6: Final answer
    x = 164,012.35

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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.