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Finding the Fourth Proportional to 186,126, 256,854 and 105,527.76

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Solution

The fourth proportional to 186,126, 256,854 and 105,527.76 is: 145,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,126 : 256,854 = 105,527.76 : x
  2. Step 2: Convert to fraction form
    186,126/256,854 = 105,527.76/x
  3. Step 3: Cross multiply
    186,126x = 256,854 × 105,527.76
  4. Step 4: Simplify right side
    186,126x = 27,105,227,267.04
  5. Step 5: Solve for x
    x = 27,105,227,267.04/186,126
  6. Step 6: Final answer
    x = 145,628.38

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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.