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Finding the Fourth Proportional to 191,911.21, 287,582.51 and 77,920.40

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Solution

The fourth proportional to 191,911.21, 287,582.51 and 77,920.40 is: 116,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,911.21 : 287,582.51 = 77,920.40 : x
  2. Step 2: Convert to fraction form
    191,911.21/287,582.51 = 77,920.40/x
  3. Step 3: Cross multiply
    191,911.21x = 287,582.51 × 77,920.40
  4. Step 4: Simplify right side
    191,911.21x = 22,408,544,002.34
  5. Step 5: Solve for x
    x = 22,408,544,002.34/191,911.21
  6. Step 6: Final answer
    x = 116,765.17

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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.