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Finding the Fourth Proportional to 159,138, 238,656.04 and 52,498.08

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Solution

The fourth proportional to 159,138, 238,656.04 and 52,498.08 is: 78,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,138 : 238,656.04 = 52,498.08 : x
  2. Step 2: Convert to fraction form
    159,138/238,656.04 = 52,498.08/x
  3. Step 3: Cross multiply
    159,138x = 238,656.04 × 52,498.08
  4. Step 4: Simplify right side
    159,138x = 12,528,983,880.40
  5. Step 5: Solve for x
    x = 12,528,983,880.40/159,138
  6. Step 6: Final answer
    x = 78,730.31

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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.