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Finding the Fourth Proportional to 186,718.50, 257,671.53 and 101,836.17

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Solution

The fourth proportional to 186,718.50, 257,671.53 and 101,836.17 is: 140,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,718.50 : 257,671.53 = 101,836.17 : x
  2. Step 2: Convert to fraction form
    186,718.50/257,671.53 = 101,836.17/x
  3. Step 3: Cross multiply
    186,718.50x = 257,671.53 × 101,836.17
  4. Step 4: Simplify right side
    186,718.50x = 26,240,281,733.24
  5. Step 5: Solve for x
    x = 26,240,281,733.24/186,718.50
  6. Step 6: Final answer
    x = 140,533.91

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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.