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Finding the Fourth Proportional to 159,263.28, 238,916.88 and 54,054

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Solution

The fourth proportional to 159,263.28, 238,916.88 and 54,054 is: 81,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,263.28 : 238,916.88 = 54,054 : x
  2. Step 2: Convert to fraction form
    159,263.28/238,916.88 = 54,054/x
  3. Step 3: Cross multiply
    159,263.28x = 238,916.88 × 54,054
  4. Step 4: Simplify right side
    159,263.28x = 12,914,413,031.52
  5. Step 5: Solve for x
    x = 12,914,413,031.52/159,263.28
  6. Step 6: Final answer
    x = 81,088.45

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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.