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Finding the Fourth Proportional to 186,596.78, 257,501.58 and 101,712.02

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Solution

The fourth proportional to 186,596.78, 257,501.58 and 101,712.02 is: 140,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,596.78 : 257,501.58 = 101,712.02 : x
  2. Step 2: Convert to fraction form
    186,596.78/257,501.58 = 101,712.02/x
  3. Step 3: Cross multiply
    186,596.78x = 257,501.58 × 101,712.02
  4. Step 4: Simplify right side
    186,596.78x = 26,191,005,854.99
  5. Step 5: Solve for x
    x = 26,191,005,854.99/186,596.78
  6. Step 6: Final answer
    x = 140,361.51

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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.