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Finding the Fourth Proportional to 186,402.48, 257,241.86 and 105,827.32

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Solution

The fourth proportional to 186,402.48, 257,241.86 and 105,827.32 is: 146,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,402.48 : 257,241.86 = 105,827.32 : x
  2. Step 2: Convert to fraction form
    186,402.48/257,241.86 = 105,827.32/x
  3. Step 3: Cross multiply
    186,402.48x = 257,241.86 × 105,827.32
  4. Step 4: Simplify right side
    186,402.48x = 27,223,216,635.62
  5. Step 5: Solve for x
    x = 27,223,216,635.62/186,402.48
  6. Step 6: Final answer
    x = 146,045.36

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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.