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Finding the Fourth Proportional to 186,404.48, 257,244.62 and 105,829.32

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Solution

The fourth proportional to 186,404.48, 257,244.62 and 105,829.32 is: 146,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,404.48 : 257,244.62 = 105,829.32 : x
  2. Step 2: Convert to fraction form
    186,404.48/257,244.62 = 105,829.32/x
  3. Step 3: Cross multiply
    186,404.48x = 257,244.62 × 105,829.32
  4. Step 4: Simplify right side
    186,404.48x = 27,224,022,679.11
  5. Step 5: Solve for x
    x = 27,224,022,679.11/186,404.48
  6. Step 6: Final answer
    x = 146,048.12

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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.