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Finding the Fourth Proportional to 210,009.07, 289,818.49 and 114,521

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Solution

The fourth proportional to 210,009.07, 289,818.49 and 114,521 is: 158,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.07 : 289,818.49 = 114,521 : x
  2. Step 2: Convert to fraction form
    210,009.07/289,818.49 = 114,521/x
  3. Step 3: Cross multiply
    210,009.07x = 289,818.49 × 114,521
  4. Step 4: Simplify right side
    210,009.07x = 33,190,303,293.29
  5. Step 5: Solve for x
    x = 33,190,303,293.29/210,009.07
  6. Step 6: Final answer
    x = 158,042.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.