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Finding the Fourth Proportional to 186,275.68, 257,053.29 and 105,698.40

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Solution

The fourth proportional to 186,275.68, 257,053.29 and 105,698.40 is: 145,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,275.68 : 257,053.29 = 105,698.40 : x
  2. Step 2: Convert to fraction form
    186,275.68/257,053.29 = 105,698.40/x
  3. Step 3: Cross multiply
    186,275.68x = 257,053.29 × 105,698.40
  4. Step 4: Simplify right side
    186,275.68x = 27,170,119,653.98
  5. Step 5: Solve for x
    x = 27,170,119,653.98/186,275.68
  6. Step 6: Final answer
    x = 145,859.73

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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.