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Finding the Fourth Proportional to 186,706.32, 257,646.88 and 101,823.38

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Solution

The fourth proportional to 186,706.32, 257,646.88 and 101,823.38 is: 140,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,706.32 : 257,646.88 = 101,823.38 : x
  2. Step 2: Convert to fraction form
    186,706.32/257,646.88 = 101,823.38/x
  3. Step 3: Cross multiply
    186,706.32x = 257,646.88 × 101,823.38
  4. Step 4: Simplify right side
    186,706.32x = 26,234,475,400.52
  5. Step 5: Solve for x
    x = 26,234,475,400.52/186,706.32
  6. Step 6: Final answer
    x = 140,511.99

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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.