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Finding the Fourth Proportional to 186,448.77, 257,299.74 and 101,564.01

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Solution

The fourth proportional to 186,448.77, 257,299.74 and 101,564.01 is: 140,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,448.77 : 257,299.74 = 101,564.01 : x
  2. Step 2: Convert to fraction form
    186,448.77/257,299.74 = 101,564.01/x
  3. Step 3: Cross multiply
    186,448.77x = 257,299.74 × 101,564.01
  4. Step 4: Simplify right side
    186,448.77x = 26,132,393,366.36
  5. Step 5: Solve for x
    x = 26,132,393,366.36/186,448.77
  6. Step 6: Final answer
    x = 140,158.57

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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.