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Finding the Fourth Proportional to 191,807.02, 264,641.76 and 109,019.84

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Solution

The fourth proportional to 191,807.02, 264,641.76 and 109,019.84 is: 150,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,807.02 : 264,641.76 = 109,019.84 : x
  2. Step 2: Convert to fraction form
    191,807.02/264,641.76 = 109,019.84/x
  3. Step 3: Cross multiply
    191,807.02x = 264,641.76 × 109,019.84
  4. Step 4: Simplify right side
    191,807.02x = 28,851,202,994.12
  5. Step 5: Solve for x
    x = 28,851,202,994.12/191,807.02
  6. Step 6: Final answer
    x = 150,417.87

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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.