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Finding the Fourth Proportional to 191,486.22, 264,282.54 and 146,078.46

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Solution

The fourth proportional to 191,486.22, 264,282.54 and 146,078.46 is: 201,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,486.22 : 264,282.54 = 146,078.46 : x
  2. Step 2: Convert to fraction form
    191,486.22/264,282.54 = 146,078.46/x
  3. Step 3: Cross multiply
    191,486.22x = 264,282.54 × 146,078.46
  4. Step 4: Simplify right side
    191,486.22x = 38,605,986,448.09
  5. Step 5: Solve for x
    x = 38,605,986,448.09/191,486.22
  6. Step 6: Final answer
    x = 201,612.35

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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.