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Finding the Fourth Proportional to 186,513.66, 257,390.73 and 101,632.14

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Solution

The fourth proportional to 186,513.66, 257,390.73 and 101,632.14 is: 140,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,513.66 : 257,390.73 = 101,632.14 : x
  2. Step 2: Convert to fraction form
    186,513.66/257,390.73 = 101,632.14/x
  3. Step 3: Cross multiply
    186,513.66x = 257,390.73 × 101,632.14
  4. Step 4: Simplify right side
    186,513.66x = 26,159,170,706.06
  5. Step 5: Solve for x
    x = 26,159,170,706.06/186,513.66
  6. Step 6: Final answer
    x = 140,253.38

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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.