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Finding the Fourth Proportional to 191,400.91, 264,141.92 and 110,831.95

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Solution

The fourth proportional to 191,400.91, 264,141.92 and 110,831.95 is: 152,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,400.91 : 264,141.92 = 110,831.95 : x
  2. Step 2: Convert to fraction form
    191,400.91/264,141.92 = 110,831.95/x
  3. Step 3: Cross multiply
    191,400.91x = 264,141.92 × 110,831.95
  4. Step 4: Simplify right side
    191,400.91x = 29,275,364,070.34
  5. Step 5: Solve for x
    x = 29,275,364,070.34/191,400.91
  6. Step 6: Final answer
    x = 152,953.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.