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Finding the Fourth Proportional to 191,582.34, 264,383.64 and 106,699.40

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Solution

The fourth proportional to 191,582.34, 264,383.64 and 106,699.40 is: 147,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,582.34 : 264,383.64 = 106,699.40 : x
  2. Step 2: Convert to fraction form
    191,582.34/264,383.64 = 106,699.40/x
  3. Step 3: Cross multiply
    191,582.34x = 264,383.64 × 106,699.40
  4. Step 4: Simplify right side
    191,582.34x = 28,209,575,757.82
  5. Step 5: Solve for x
    x = 28,209,575,757.82/191,582.34
  6. Step 6: Final answer
    x = 147,245.18

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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.