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Finding the Fourth Proportional to 186,444.84, 257,300.10 and 101,569.80

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Solution

The fourth proportional to 186,444.84, 257,300.10 and 101,569.80 is: 140,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,444.84 : 257,300.10 = 101,569.80 : x
  2. Step 2: Convert to fraction form
    186,444.84/257,300.10 = 101,569.80/x
  3. Step 3: Cross multiply
    186,444.84x = 257,300.10 × 101,569.80
  4. Step 4: Simplify right side
    186,444.84x = 26,133,919,696.98
  5. Step 5: Solve for x
    x = 26,133,919,696.98/186,444.84
  6. Step 6: Final answer
    x = 140,169.71

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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.