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Finding the Fourth Proportional to 186,267.84, 257,054.72 and 105,698.72

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Solution

The fourth proportional to 186,267.84, 257,054.72 and 105,698.72 is: 145,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,267.84 : 257,054.72 = 105,698.72 : x
  2. Step 2: Convert to fraction form
    186,267.84/257,054.72 = 105,698.72/x
  3. Step 3: Cross multiply
    186,267.84x = 257,054.72 × 105,698.72
  4. Step 4: Simplify right side
    186,267.84x = 27,170,354,873.96
  5. Step 5: Solve for x
    x = 27,170,354,873.96/186,267.84
  6. Step 6: Final answer
    x = 145,867.13

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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.