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Finding the Fourth Proportional to 153,916.61, 230,873.70 and 82,872.53

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Solution

The fourth proportional to 153,916.61, 230,873.70 and 82,872.53 is: 124,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,916.61 : 230,873.70 = 82,872.53 : x
  2. Step 2: Convert to fraction form
    153,916.61/230,873.70 = 82,872.53/x
  3. Step 3: Cross multiply
    153,916.61x = 230,873.70 × 82,872.53
  4. Step 4: Simplify right side
    153,916.61x = 19,133,087,629.46
  5. Step 5: Solve for x
    x = 19,133,087,629.46/153,916.61
  6. Step 6: Final answer
    x = 124,308.14

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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.