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Finding the Fourth Proportional to 186,333.63, 257,139.60 and 101,448.87

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Solution

The fourth proportional to 186,333.63, 257,139.60 and 101,448.87 is: 139,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,333.63 : 257,139.60 = 101,448.87 : x
  2. Step 2: Convert to fraction form
    186,333.63/257,139.60 = 101,448.87/x
  3. Step 3: Cross multiply
    186,333.63x = 257,139.60 × 101,448.87
  4. Step 4: Simplify right side
    186,333.63x = 26,086,521,852.25
  5. Step 5: Solve for x
    x = 26,086,521,852.25/186,333.63
  6. Step 6: Final answer
    x = 139,999.00

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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.