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Finding the Fourth Proportional to 210,092.20, 289,916.58 and 114,598.12

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Solution

The fourth proportional to 210,092.20, 289,916.58 and 114,598.12 is: 158,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,092.20 : 289,916.58 = 114,598.12 : x
  2. Step 2: Convert to fraction form
    210,092.20/289,916.58 = 114,598.12/x
  3. Step 3: Cross multiply
    210,092.20x = 289,916.58 × 114,598.12
  4. Step 4: Simplify right side
    210,092.20x = 33,223,895,024.83
  5. Step 5: Solve for x
    x = 33,223,895,024.83/210,092.20
  6. Step 6: Final answer
    x = 158,139.59

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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.