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Finding the Fourth Proportional to 191,875.86, 264,707.01 and 140,799.86

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Solution

The fourth proportional to 191,875.86, 264,707.01 and 140,799.86 is: 194,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,875.86 : 264,707.01 = 140,799.86 : x
  2. Step 2: Convert to fraction form
    191,875.86/264,707.01 = 140,799.86/x
  3. Step 3: Cross multiply
    191,875.86x = 264,707.01 × 140,799.86
  4. Step 4: Simplify right side
    191,875.86x = 37,270,708,625.48
  5. Step 5: Solve for x
    x = 37,270,708,625.48/191,875.86
  6. Step 6: Final answer
    x = 194,243.86

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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.