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Finding the Fourth Proportional to 186,014.13, 256,701.32 and 101,133.01

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Solution

The fourth proportional to 186,014.13, 256,701.32 and 101,133.01 is: 139,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,014.13 : 256,701.32 = 101,133.01 : x
  2. Step 2: Convert to fraction form
    186,014.13/256,701.32 = 101,133.01/x
  3. Step 3: Cross multiply
    186,014.13x = 256,701.32 × 101,133.01
  4. Step 4: Simplify right side
    186,014.13x = 25,960,977,162.57
  5. Step 5: Solve for x
    x = 25,960,977,162.57/186,014.13
  6. Step 6: Final answer
    x = 139,564.54

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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.