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Finding the Fourth Proportional to 191,693, 264,525.62 and 105,649.16

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Solution

The fourth proportional to 191,693, 264,525.62 and 105,649.16 is: 145,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,693 : 264,525.62 = 105,649.16 : x
  2. Step 2: Convert to fraction form
    191,693/264,525.62 = 105,649.16/x
  3. Step 3: Cross multiply
    191,693x = 264,525.62 × 105,649.16
  4. Step 4: Simplify right side
    191,693x = 27,946,909,551.48
  5. Step 5: Solve for x
    x = 27,946,909,551.48/191,693
  6. Step 6: Final answer
    x = 145,789.93

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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.