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Finding the Fourth Proportional to 154,846.78, 232,113.31 and 104,931.92

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Solution

The fourth proportional to 154,846.78, 232,113.31 and 104,931.92 is: 157,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,846.78 : 232,113.31 = 104,931.92 : x
  2. Step 2: Convert to fraction form
    154,846.78/232,113.31 = 104,931.92/x
  3. Step 3: Cross multiply
    154,846.78x = 232,113.31 × 104,931.92
  4. Step 4: Simplify right side
    154,846.78x = 24,356,095,275.86
  5. Step 5: Solve for x
    x = 24,356,095,275.86/154,846.78
  6. Step 6: Final answer
    x = 157,291.58

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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.