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Finding the Fourth Proportional to 186,838.28, 257,829.39 and 110,382

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Solution

The fourth proportional to 186,838.28, 257,829.39 and 110,382 is: 152,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,838.28 : 257,829.39 = 110,382 : x
  2. Step 2: Convert to fraction form
    186,838.28/257,829.39 = 110,382/x
  3. Step 3: Cross multiply
    186,838.28x = 257,829.39 × 110,382
  4. Step 4: Simplify right side
    186,838.28x = 28,459,723,726.98
  5. Step 5: Solve for x
    x = 28,459,723,726.98/186,838.28
  6. Step 6: Final answer
    x = 152,322.77

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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.