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Finding the Fourth Proportional to 173,838.30, 260,757.45 and 157,508.70

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Solution

The fourth proportional to 173,838.30, 260,757.45 and 157,508.70 is: 236,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,838.30 : 260,757.45 = 157,508.70 : x
  2. Step 2: Convert to fraction form
    173,838.30/260,757.45 = 157,508.70/x
  3. Step 3: Cross multiply
    173,838.30x = 260,757.45 × 157,508.70
  4. Step 4: Simplify right side
    173,838.30x = 41,071,566,964.82
  5. Step 5: Solve for x
    x = 41,071,566,964.82/173,838.30
  6. Step 6: Final answer
    x = 236,263.05

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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.